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Technical University of Munich
Picture of Josef Dorfmeister

Prof. Josef Dorfmeister

Technical University of Munich

TUM School of Computation, Information and Technology

Postal address

Arcisstr. 21
80333 München

Curriculum Vitae

Research Interests

  • Differential Geometry of Surfaces
  • Integrable Systems
  • Loop Group Method

Publications

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2022

  • Dorfmeister, Josef F.; Inoguchi, Jun-ichi; Kobayashi, Shimpei: Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group. Complex Manifolds 9 (1), 2022, 285--336 more… BibTeX Full text ( DOI )

2021

  • Dorfmeister, Josef F.; Kobayashi, Shimpei: Timelike minimal Lagrangian surfaces in the indefinite complex hyperbolic two-space. Ann. Mat. Pura Appl. (4) 200 (2), 2021, 521--546 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef F.; Ma, Hui: Minimal Lagrangian surfaces in $\Bbb CP^2$ via the loop group method Part I: The contractible case. J. Geom. Phys. 161, 2021, Paper No. 104016, 27 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef F.; Wang, Peng: Weierstrass-Kenmotsu representation of Willmore surfaces in spheres. Nagoya Math. J. 244, 2021, 35--59 more… BibTeX Full text ( DOI )

2020

  • Dorfmeister, Josef F.; Kobayashi, Shimpei; Ma, Hui: Ruh-Vilms theorems for minimal surfaces without complex points and minimal Lagrangian surfaces in $\BbbCP^2$. Math. Z. 296 (3-4), 2020, 1751--1775 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef F.; Wang, Peng: On symmetric Willmore surfaces in spheres II: The orientation reversing case. Differential Geom. Appl. 69, 2020, 101606, 27 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Wang, Peng: Classification of homogeneous Willmore surfaces in $S^n$. Osaka J. Math. 57 (4), 2020, 805--817 more… BibTeX

2019

  • Dorfmeister, Josef F.; Freyn, Walter; Kobayashi, Shimpei; Wang, Erxiao: Survey on real forms of the complex $A_2^(2)$-Toda equation and surface theory. Complex Manifolds 6 (1), 2019, 194--227 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef F.; Wang, Peng: Willmore surfaces in spheres: the DPW approach via the conformal Gauss map. Abh. Math. Semin. Univ. Hambg. 89 (1), 2019, 77--103 more… BibTeX Full text ( DOI )

2018

  • Dorfmeister, Josef F.; Walcher, Sebastian: Theta functions on tube domains. Abh. Math. Semin. Univ. Hambg. 88 (2), 2018, 273--288 more… BibTeX Full text ( DOI )

2016

  • Dorfmeister, Josef F.; Inoguchi, Jun-Ichi; Kobayashi, Shimpei: A loop group method for minimal surfaces in the three-dimensional Heisenberg group. Asian J. Math. 20 (3), 2016, 409--448 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef F.; Inoguchi, Jun-ichi; Kobayashi, Shimpei: A loop group method for affine harmonic maps into Lie groups. Adv. Math. 298, 2016, 207--253 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef F.; Inoguchi, Jun-ichi; Kobayashi, Shimpei: On the Bernstein problem in the three-dimensional Heisenberg group. Canad. Math. Bull. 59 (1), 2016, 50--61 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef F.; Ma, Hui: Explicit expressions for the Iwasawa factors, the metric and the monodromy matrices for minimal Lagrangian surfaces in $\Bbb CP^2$. In: Dynamical systems, number theory and applications. World Sci. Publ., Hackensack, NJ, 2016, 19--47 more… BibTeX
  • Dorfmeister, Josef F.; Ma, Hui: A new look at equivariant minimal Lagrangian surfaces in $\Bbb CP^2$. In: Geometry and topology of manifolds. Springer, [Tokyo], 2016, 97--125 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef F.; Sterling, Ivan: Pseudospherical surfaces of low differentiability. Adv. Geom. 16 (1), 2016, 1--20 more… BibTeX Full text ( DOI )

2015

  • Brander, David; Dorfmeister, Josef F.: Deformations of constant mean curvature surfaces preserving symmetries and the Hopf differential. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 14 (2), 2015, 645--675 more… BibTeX
  • Dorfmeister, Josef; Wang, Peng: On symmetric Willmore surfaces in spheres I: The orientation preserving case. Differential Geom. Appl. 43, 2015, 102--129 more… BibTeX Full text ( DOI )

2014

  • Dorfmeister, Josef F.; Inoguchi, Jun-ichi; Kobayashi, Shimpei: Constant mean curvature surfaces in hyperbolic 3-space via loop groups. J. Reine Angew. Math. 686, 2014, 1--36 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef F.; Sterling, Ivan: Minding's theorem for low degrees of differentiability. Tokyo J. Math. 37 (2), 2014, 503--508 more… BibTeX Full text ( DOI )

2013

  • Boumuki, Nobutaka; Dorfmeister, Josef F.: On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps. Results Math. 63 (1-2), 2013, 335--376 more… BibTeX Full text ( DOI )
  • Burstall, F. E.; Dorfmeister, J. F.; Leschke, K.; Quintino, A. C.: Darboux transforms and simple factor dressing of constant mean curvature surfaces. Manuscripta Math. 140 (1-2), 2013, 213--236 more… BibTeX Full text ( DOI )

2012

  • Dorfmeister, Josef F.: Open Iwasawa cells and applications to surface theory. In: Variational problems in differential geometry. Cambridge Univ. Press, Cambridge, 2012, 56--67 more… BibTeX

2011

  • Dorfmeister, Josef: Conformal asymptotics of properly embedded annular CMC ends. Pac. J. Appl. Math. 3 (1-2), 2011, 1--10 more… BibTeX
  • Dorfmeister, Josef F.; Rossman, Wayne: Triviality of the dressing isotropy for a Smyth-type potential and nonclosing of the resulting CMC surfaces. In: Geometry---Exploratory Workshop on Differential Geometry and its Applications. Cluj Univ. Press, Cluj-Napoca, 2011, 61--70 more… BibTeX
  • Dorfmeister, Josef; Pedit, Franz: Foreword---tribute to Hongyou Wu. Pac. J. Appl. Math. 3 (1-2), 2011, vii--viii more… BibTeX

2010

  • Boumuki, Nobutaka; Dorfmeister, Josef F.: On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps. Proceedings of the 14th International Workshop on Differential Geometry and the 3rd KNUGRG-OCAMI Differential Geometry Workshop [Volume 14], Natl. Inst. Math. Sci. (NIMS), Taejŏn, 2010 more… BibTeX
  • Brander, David; Dorfmeister, Josef F.: The Björling problem for non-minimal constant mean curvature surfaces. Comm. Anal. Geom. 18 (1), 2010, 171--194 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef F.: Loop groups and surfaces with symmetries. In: Riemann surfaces, harmonic maps and visualization. Osaka Munic. Univ. Press, Osaka, 2010, 29--39 more… BibTeX
  • Dorfmeister, Josef F.; Guest, Martin A.; Rossman, Wayne: The $tt^*$ structure of the quantum cohomology of $\Bbb Cm̊ P^1$ from the viewpoint of differential geometry. Asian J. Math. 14 (3), 2010, 417--437 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Kobayashi, Shimpei; Pedit, Franz: Complex surfaces of constant mean curvature fibered by minimal surfaces. Hokkaido Math. J. 39 (1), 2010, 1--55 more… BibTeX Full text ( DOI )

2009

  • Brander, David; Dorfmeister, Josef: Generalized DPW method and an application to isometric immersions of space forms. Math. Z. 262 (1), 2009, 143--172 more… BibTeX Full text ( DOI )
  • Dorfmeister, J.; Kenmotsu, K.: Rotational hypersurfaces of periodic mean curvature. Differential Geom. Appl. 27 (6), 2009, 702--712 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef F.; Ivey, Thomas; Sterling, Ivan: Symmetric pseudospherical surfaces. I. General theory. Results Math. 56 (1-4), 2009, 3--21 more… BibTeX Full text ( DOI )

2008

  • Dorfmeister, J.; Eschenburg, J.-H.: Real Fuchsian equations and constant mean curvature surfaces. Mat. Contemp. 35, 2008, 1--25 more… BibTeX
  • Dorfmeister, Josef: Associated families of immersions versus curved flats. In: Contemporary geometry and topology and related topics. Cluj Univ. Press, Cluj-Napoca, 2008, 141--151 more… BibTeX
  • Dorfmeister, Josef: Generalized Weierstraß representations of surfaces. In: Surveys on geometry and integrable systems. Math. Soc. Japan, Tokyo, 2008, 55--111 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Kenmotsu, Katsuei: On a theorem by Hsiang and Yu. Ann. Global Anal. Geom. 33 (3), 2008, 245--252 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Wu, Hongyou: Construction of constant mean curvature $n$-noids from holomorphic potentials. Math. Z. 258 (4), 2008, 773--803 more… BibTeX Full text ( DOI )

2007

  • Dorfmeister, J.; Kobayashi, S.-P.: Coarse classification of constant mean curvature cylinders. Trans. Amer. Math. Soc. 359 (6), 2007, 2483--2500 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Wu, Hongyou: Unitarization of loop group representations of fundamental groups. Nagoya Math. J. 187, 2007, 1--33 more… BibTeX Full text ( DOI )

2006

  • Dorfmeister, J.; Schuster, M.: Construction of planar CMC 4-noids of genus $g=0$. JP J. Geom. Topol. 6 (3), 2006, 319--381 more… BibTeX

2005

  • Balan, Vladimir; Dorfmeister, Josef: Weierstrass-type representation for harmonic maps into general symmetric spaces via loop groups. J. Math. Soc. Japan 57 (1), 2005, 69--94 more… BibTeX
  • Dorfmeister, J.; Kilian, M.: Dressing preserving the fundamental group. Differential Geom. Appl. 23 (2), 2005, 176--204 more… BibTeX Full text ( DOI )

2004

  • Balan, Vladimir; Dorfmeister, Josef: Harmonic maps into general symmetric spaces via loop groups. In: Recent advances in geometry and topology. Cluj Univ. Press, Cluj-Napoca, 2004, 49--64 more… BibTeX

2003

  • Dorfmeister, J.; Eschenburg, J.-H.: Pluriharmonic maps, loop groups and twistor theory. Ann. Global Anal. Geom. 24 (4), 2003, 301--321 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Haak, Guido: Construction of non-simply connected CMC surfaces via dressing. J. Math. Soc. Japan 55 (2), 2003, 335--364 more… BibTeX Full text ( DOI )

2002

  • Dorfmeister, Josef; Inoguchi, Jun-ichi; Toda, Magdalena: Weierstraß -type representation of timelike surfaces with constant mean curvature. In: Differential geometry and integrable systems (Tokyo, 2000). Amer. Math. Soc., Providence, RI, 2002, 77--99 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Sterling, Ivan: Finite type Lorentz harmonic maps and the method of Symes. Differential Geom. Appl. 17 (1), 2002, 43--53 more… BibTeX Full text ( DOI )

2001

  • Balan, Vladimir; Dorfmeister, Josef: Birkhoff decompositions and Iwasawa decompositions for loop groups. Tohoku Math. J. (2) 53 (4), 2001, 593--615 more… BibTeX Full text ( DOI )
  • Dorfmeister, J.; Eitner, U.: Weierstraß -type representation of affine spheres. Abh. Math. Sem. Univ. Hamburg 71, 2001, 225--250 more… BibTeX Full text ( DOI )

2000

  • Balan, Vladimir; Dorfmeister, Josef: A Weierstrass-type representation for harmonic maps from Riemann surfaces to general Lie groups. In: , 2000, 7--37 more… BibTeX
  • Dorfmeister, J.; Haak, G.: On symmetries of constant mean curvature surfaces. II. Symmetries in a Weierstraß -type representation. Int. J. Math. Game Theory Algebra 10 (2), 2000, 121--146 more… BibTeX
  • Dorfmeister, J.; Haak, G.: Investigation and application of the dressing action on surfaces of constant mean curvature. Q. J. Math. 51 (1), 2000, 57--73 more… BibTeX Full text ( DOI )

1998

  • Dorfmeister, J.; Gradl, H.; Szmigielski, J.: Systems of PDEs obtained from factorization in loop groups. Acta Appl. Math. 53 (1), 1998, 1--58 more… BibTeX Full text ( DOI )
  • Dorfmeister, J.; Haak, G.: On constant mean curvature surfaces with periodic metric. Pacific J. Math. 182 (2), 1998, 229--287 more… BibTeX Full text ( DOI )
  • Dorfmeister, J.; Pedit, F.; Wu, H.: Weierstrass type representation of harmonic maps into symmetric spaces. Comm. Anal. Geom. 6 (4), 1998, 633--668 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Haak, Guido: On symmetries of constant mean curvature surfaces. I. General theory. Tohoku Math. J. (2) 50 (3), 1998, 437--454 more… BibTeX Full text ( DOI )

1997

  • Dorfmeister, J.; Haak, G.: Meromorphic potentials and smooth surfaces of constant mean curvature. Math. Z. 224 (4), 1997, 603--640 more… BibTeX Full text ( DOI )
  • Dorfmeister, J.; Pedit, F.; Toda, M.: Minimal surfaces via loop groups. In: , 1997, 25--40 more… BibTeX
  • Dorfmeister, Josef; McIntosh, Ian; Pedit, Franz; Wu, Hongyou: On the meromorphic potential for a harmonic surface in a $k$-symmetric space. Manuscripta Math. 92 (2), 1997, 143--152 more… BibTeX Full text ( DOI )

1996

  • Dorfmeister, Josef: Symmetric cones. In: Topics in geometry. Birkhäuser Boston, Boston, MA, 1996, 101--121 more… BibTeX
  • Dorfmeister, Josef: Weighted $l_1$-Grassmannians and Banach manifolds of solutions of the KP-equation and the KdV-equation. Math. Nachr. 180, 1996, 43--73 more… BibTeX Full text ( DOI )

1994

  • Dorfmeister, Josef: Algebraic systems in differential geometry. In: Jordan algebras (Oberwolfach, 1992). de Gruyter, Berlin, 1994, 9--33 more… BibTeX

1993

  • Dorfmeister, J.: Homogeneous Kähler and pseudo-Kähler manifolds. Proceedings of the International Workshop on Differential Geometry and its Applications (Bucharest, 1993), 1993 more… BibTeX
  • Dorfmeister, J.: Soliton equations and differential geometry. Proceedings of the International Workshop on Differential Geometry and its Applications (Bucharest, 1993), 1993 more… BibTeX
  • Dorfmeister, Josef: Groups associated with a Grassmannian modelled on the Wiener algebra. Integral Equations Operator Theory 17 (4), 1993, 464--500 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef: Banach manifolds of solutions to nonlinear partial differential equations, and relations with finite-dimensional manifolds. In: Differential geometry: partial differential equations on manifolds (Los Angeles, CA, 1990). Amer. Math. Soc., Providence, RI, 1993, 121--139 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Szmigielski, Jacek: Riemann-Hilbert factorizations and inverse scattering for the AKNS-equation with $L^1$-potentials. I. Publ. Res. Inst. Math. Sci. 29 (6), 1993, 911--958 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Wu, Hongyou: Constant mean curvature surfaces and loop groups. J. Reine Angew. Math. 440, 1993, 43--76 more… BibTeX

1992

  • Dorfmeister, Josef; Guan, Zhuang Dan: Supplement to: ``Fine structure of reductive pseudo-Kählerian spaces'' [Geom. Dedicata \bf 39 (1991), no. 3, 321--338; MR1123147 (92h:53081)]. Geom. Dedicata 42 (2), 1992, 241--242 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Guan, Zhuang Dan: Classification of compact homogeneous pseudo-Kähler manifolds. Comment. Math. Helv. 67 (4), 1992, 499--513 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Guan, Zhuang Dan: Pseudo-Kählerian homogeneous spaces admitting a reductive transitive group of automorphisms. Math. Z. 209 (1), 1992, 89--100 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Szmigielski, Jacek: Principal fiber bundle interpretation of the KP-hierarchy. Publ. Res. Inst. Math. Sci. 28 (4), 1992, 503--533 more… BibTeX Full text ( DOI )

1991

  • Dorfmeister, J.; Neher, E.; Szmigielski, J.: Automorphisms of the KdV-subvariety. Integral Equations Operator Theory 14 (2), 1991, 192--212 more… BibTeX Full text ( DOI )
  • Dorfmeister, J.; Wu, H.: Banach manifolds of constant mean curvature surfaces. In: Geometry and topology of submanifolds, III (Leeds, 1990). World Sci. Publ., River Edge, NJ, 1991, 153--162 more… BibTeX
  • Dorfmeister, Josef; Guan, Zhuang Dan: Fine structure of reductive pseudo-Kählerian spaces. Geom. Dedicata 39 (3), 1991, 321--338 more… BibTeX Full text ( DOI )

1990

  • D'Atri, J. E.; Dorfmeister, J.: The biholomorphic curvature of quasisymmetric Siegel domains. J. Differential Geom. 31 (1), 1990, 73--99 more… BibTeX
  • Dorfmeister, J.: Special algebraic properties of Kähler algebras. Tsukuba J. Math. 14 (2), 1990, 315--326 more… BibTeX Full text ( DOI )
  • Dorfmeister, J.; Neher, E.: Isoparametric triple systems with special $\bf Z$-structure. Algebras Groups Geom. 7 (1), 1990, 21--94 more… BibTeX
  • Dorfmeister, J.; Neher, E.; Szmigielski, J.: Banach manifolds and their automorphisms associated with groups of type $C_ınfty$ and $D_ınfty$. In: Lie algebra and related topics (Madison, WI, 1988). Amer. Math. Soc., Providence, RI, 1990, 43--65 more… BibTeX Full text ( DOI )

1989

  • Dorfmeister, J.; Neher, E.; Szmigielski, J.: Automorphisms of Banach manifolds associated with the KP-equation. Quart. J. Math. Oxford Ser. (2) 40 (158), 1989, 161--195 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef: Proof of the radical conjecture for homogeneous Kähler manifolds. Nagoya Math. J. 114, 1989, 77--122 more… BibTeX Full text ( DOI )

1988

  • D'Atri, J. E.; Dorfmeister, J.: Flat totally geodesic submanifolds of quasisymmetric Siegel domains. Geom. Dedicata 28 (3), 1988, 321--336 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Nakajima, Kazufumi: The fundamental conjecture for homogeneous Kähler manifolds. Acta Math. 161 (1-2), 1988, 23--70 more… BibTeX Full text ( DOI )

1986

  • Dorfmeister, Josef: The radical conjecture for homogeneous Kähler manifolds. In: Lie algebras and related topics (Windsor, Ont., 1984). Amer. Math. Soc., Providence, RI, 1986, 189--208 more… BibTeX
  • Dorfmeister, Josef; Nakajima, Kazufumi: The fundamental conjecture for homogeneous Kähler manifolds. C. R. Acad. Sci. Paris Sér. I Math. 303 (8), 1986, 335--338 more… BibTeX Full text ( DOI )

1985

  • D'Atri, J. E.; Dorfmeister, J.; Zhao, Yan Da: The isotropy representation for homogeneous Siegel domains. Pacific J. Math. 120 (2), 1985, 295--326 more… BibTeX
  • Dorfmeister, Josef: Variétés homogènes kählériennes. C. R. Acad. Sci. Paris Sér. I Math. 301 (4), 1985, 97--98 more… BibTeX
  • Dorfmeister, Josef: Homogeneous Kähler manifolds admitting a transitive solvable group of automorphisms. Ann. Sci. École Norm. Sup. (4) 18 (1), 1985, 143--180 more… BibTeX
  • Dorfmeister, Josef: Simply transitive groups and Kähler structures on homogeneous Siegel domains. Trans. Amer. Math. Soc. 288 (1), 1985, 293--305 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Neher, Erhard: Isoparametric hypersurfaces, case $g=6, m=1$. Comm. Algebra 13 (11), 1985, 2299--2368 more… BibTeX Full text ( DOI )

1984

  • Dorfmeister, Gerda; Dorfmeister, Josef: Classification of certain pairs of operators $(P,\,Q)$ satisfying $[P,\,Q]=-i$ $m̊ Id$. J. Funct. Anal. 57 (3), 1984, 301--328 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Neher, Erhard: Isoparametric triple systems of FKM-type. III. Algebras Groups Geom. 1 (3), 1984, 305--343 more… BibTeX

1983

  • Dorfmeister, J.; Neher, E.: Isoparametric triple systems of FKM-type. I. Abh. Math. Sem. Univ. Hamburg 53, 1983, 191--216 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Heinze, Joachim: Umkehrbare und nilpotente Polynome. Abh. Math. Sem. Univ. Hamburg 53, 1983, 170--190 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Neher, Erhard: Isoparametric triple systems of algebra type. Osaka J. Math. 20 (1), 1983, 145--175 more… BibTeX
  • Dorfmeister, Josef; Neher, Erhard: Isoparametric triple systems of FKM-type. II. Manuscripta Math. 43 (1), 1983, 13--44 more… BibTeX Full text ( DOI )
  • Dorfmeister, Josef; Neher, Erhard: An algebraic approach to isoparametric hypersurfaces in spheres. I, II. Tohoku Math. J. (2) 35 (2), 1983, 187--224, 225--247 more… BibTeX Full text ( DOI )

1982

  • Dorfmeister, Josef: Homogeneous Siegel domains. Nagoya Math. J. 86, 1982, 39--83 more… BibTeX

1980

1979

1978

  • Dorfmeister, J.: Theta functions for special, formally real Jordan algebras, a remark on a paper of H. L. Resnikoff: ``Theta functions for Jordan algebras'' (Invent. Math. \bf 31 (1975), no. 1, 87--104). Invent. Math. 44 (2), 1978, 103--108 more… BibTeX Full text ( DOI )
  • Dorfmeister, J.; Koecher, M.: Reguläre Kegel. Jahresber. Deutsch. Math.-Verein. 81 (3), 1978, 109--151 more… BibTeX

1977

1975

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