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2022
- Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group. Complex Manifolds 9 (1), 2022, 285--336 mehr… BibTeX Volltext ( DOI )
2021
- Timelike minimal Lagrangian surfaces in the indefinite complex hyperbolic two-space. Ann. Mat. Pura Appl. (4) 200 (2), 2021, 521--546 mehr… BibTeX Volltext ( DOI )
- 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 mehr… BibTeX Volltext ( DOI )
- Weierstrass-Kenmotsu representation of Willmore surfaces in spheres. Nagoya Math. J. 244, 2021, 35--59 mehr… BibTeX Volltext ( DOI )
2020
- Ruh-Vilms theorems for minimal surfaces without complex points and minimal Lagrangian surfaces in $\BbbCP^2$. Math. Z. 296 (3-4), 2020, 1751--1775 mehr… BibTeX Volltext ( DOI )
- On symmetric Willmore surfaces in spheres II: The orientation reversing case. Differential Geom. Appl. 69, 2020, 101606, 27 mehr… BibTeX Volltext ( DOI )
- Classification of homogeneous Willmore surfaces in $S^n$. Osaka J. Math. 57 (4), 2020, 805--817 mehr… BibTeX
2019
- Survey on real forms of the complex $A_2^(2)$-Toda equation and surface theory. Complex Manifolds 6 (1), 2019, 194--227 mehr… BibTeX Volltext ( DOI )
- Willmore surfaces in spheres: the DPW approach via the conformal Gauss map. Abh. Math. Semin. Univ. Hambg. 89 (1), 2019, 77--103 mehr… BibTeX Volltext ( DOI )
2018
- Theta functions on tube domains. Abh. Math. Semin. Univ. Hambg. 88 (2), 2018, 273--288 mehr… BibTeX Volltext ( DOI )
2016
- A loop group method for minimal surfaces in the three-dimensional Heisenberg group. Asian J. Math. 20 (3), 2016, 409--448 mehr… BibTeX Volltext ( DOI )
- A loop group method for affine harmonic maps into Lie groups. Adv. Math. 298, 2016, 207--253 mehr… BibTeX Volltext ( DOI )
- On the Bernstein problem in the three-dimensional Heisenberg group. Canad. Math. Bull. 59 (1), 2016, 50--61 mehr… BibTeX Volltext ( DOI )
- 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 mehr… BibTeX
- A new look at equivariant minimal Lagrangian surfaces in $\Bbb CP^2$. In: Geometry and topology of manifolds. Springer, [Tokyo], 2016, 97--125 mehr… BibTeX Volltext ( DOI )
- Pseudospherical surfaces of low differentiability. Adv. Geom. 16 (1), 2016, 1--20 mehr… BibTeX Volltext ( DOI )
2015
- 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 mehr… BibTeX
- On symmetric Willmore surfaces in spheres I: The orientation preserving case. Differential Geom. Appl. 43, 2015, 102--129 mehr… BibTeX Volltext ( DOI )
2014
- Constant mean curvature surfaces in hyperbolic 3-space via loop groups. J. Reine Angew. Math. 686, 2014, 1--36 mehr… BibTeX Volltext ( DOI )
- Minding's theorem for low degrees of differentiability. Tokyo J. Math. 37 (2), 2014, 503--508 mehr… BibTeX Volltext ( DOI )
2013
- On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps. Results Math. 63 (1-2), 2013, 335--376 mehr… BibTeX Volltext ( DOI )
- Darboux transforms and simple factor dressing of constant mean curvature surfaces. Manuscripta Math. 140 (1-2), 2013, 213--236 mehr… BibTeX Volltext ( DOI )
2012
2011
- Conformal asymptotics of properly embedded annular CMC ends. Pac. J. Appl. Math. 3 (1-2), 2011, 1--10 mehr… BibTeX
- 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 mehr… BibTeX
- Foreword---tribute to Hongyou Wu. Pac. J. Appl. Math. 3 (1-2), 2011, vii--viii mehr… BibTeX
2010
- 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 mehr… BibTeX
- The Björling problem for non-minimal constant mean curvature surfaces. Comm. Anal. Geom. 18 (1), 2010, 171--194 mehr… BibTeX Volltext ( DOI )
- Loop groups and surfaces with symmetries. In: Riemann surfaces, harmonic maps and visualization. Osaka Munic. Univ. Press, Osaka, 2010, 29--39 mehr… BibTeX
- 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 mehr… BibTeX Volltext ( DOI )
- Complex surfaces of constant mean curvature fibered by minimal surfaces. Hokkaido Math. J. 39 (1), 2010, 1--55 mehr… BibTeX Volltext ( DOI )
2009
- Generalized DPW method and an application to isometric immersions of space forms. Math. Z. 262 (1), 2009, 143--172 mehr… BibTeX Volltext ( DOI )
- Rotational hypersurfaces of periodic mean curvature. Differential Geom. Appl. 27 (6), 2009, 702--712 mehr… BibTeX Volltext ( DOI )
- Symmetric pseudospherical surfaces. I. General theory. Results Math. 56 (1-4), 2009, 3--21 mehr… BibTeX Volltext ( DOI )
2008
- Real Fuchsian equations and constant mean curvature surfaces. Mat. Contemp. 35, 2008, 1--25 mehr… BibTeX
- Associated families of immersions versus curved flats. In: Contemporary geometry and topology and related topics. Cluj Univ. Press, Cluj-Napoca, 2008, 141--151 mehr… BibTeX
- Generalized Weierstraß representations of surfaces. In: Surveys on geometry and integrable systems. Math. Soc. Japan, Tokyo, 2008, 55--111 mehr… BibTeX Volltext ( DOI )
- On a theorem by Hsiang and Yu. Ann. Global Anal. Geom. 33 (3), 2008, 245--252 mehr… BibTeX Volltext ( DOI )
- Construction of constant mean curvature $n$-noids from holomorphic potentials. Math. Z. 258 (4), 2008, 773--803 mehr… BibTeX Volltext ( DOI )
2007
- Coarse classification of constant mean curvature cylinders. Trans. Amer. Math. Soc. 359 (6), 2007, 2483--2500 mehr… BibTeX Volltext ( DOI )
- Unitarization of loop group representations of fundamental groups. Nagoya Math. J. 187, 2007, 1--33 mehr… BibTeX Volltext ( DOI )
2006
2005
- Weierstrass-type representation for harmonic maps into general symmetric spaces via loop groups. J. Math. Soc. Japan 57 (1), 2005, 69--94 mehr… BibTeX
- Dressing preserving the fundamental group. Differential Geom. Appl. 23 (2), 2005, 176--204 mehr… BibTeX Volltext ( DOI )
2004
2003
- Pluriharmonic maps, loop groups and twistor theory. Ann. Global Anal. Geom. 24 (4), 2003, 301--321 mehr… BibTeX Volltext ( DOI )
- Construction of non-simply connected CMC surfaces via dressing. J. Math. Soc. Japan 55 (2), 2003, 335--364 mehr… BibTeX Volltext ( DOI )
2002
- 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 mehr… BibTeX Volltext ( DOI )
- Finite type Lorentz harmonic maps and the method of Symes. Differential Geom. Appl. 17 (1), 2002, 43--53 mehr… BibTeX Volltext ( DOI )
2001
- Birkhoff decompositions and Iwasawa decompositions for loop groups. Tohoku Math. J. (2) 53 (4), 2001, 593--615 mehr… BibTeX Volltext ( DOI )
- Weierstraß -type representation of affine spheres. Abh. Math. Sem. Univ. Hamburg 71, 2001, 225--250 mehr… BibTeX Volltext ( DOI )
2000
- A Weierstrass-type representation for harmonic maps from Riemann surfaces to general Lie groups. In: , 2000, 7--37 mehr… BibTeX
- 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 mehr… BibTeX
- Investigation and application of the dressing action on surfaces of constant mean curvature. Q. J. Math. 51 (1), 2000, 57--73 mehr… BibTeX Volltext ( DOI )
1998
- Systems of PDEs obtained from factorization in loop groups. Acta Appl. Math. 53 (1), 1998, 1--58 mehr… BibTeX Volltext ( DOI )
- On constant mean curvature surfaces with periodic metric. Pacific J. Math. 182 (2), 1998, 229--287 mehr… BibTeX Volltext ( DOI )
- Weierstrass type representation of harmonic maps into symmetric spaces. Comm. Anal. Geom. 6 (4), 1998, 633--668 mehr… BibTeX Volltext ( DOI )
- On symmetries of constant mean curvature surfaces. I. General theory. Tohoku Math. J. (2) 50 (3), 1998, 437--454 mehr… BibTeX Volltext ( DOI )
1997
- Meromorphic potentials and smooth surfaces of constant mean curvature. Math. Z. 224 (4), 1997, 603--640 mehr… BibTeX Volltext ( DOI )
- Minimal surfaces via loop groups. In: , 1997, 25--40 mehr… BibTeX
- On the meromorphic potential for a harmonic surface in a $k$-symmetric space. Manuscripta Math. 92 (2), 1997, 143--152 mehr… BibTeX Volltext ( DOI )
1996
- Symmetric cones. In: Topics in geometry. Birkhäuser Boston, Boston, MA, 1996, 101--121 mehr… BibTeX
- Weighted $l_1$-Grassmannians and Banach manifolds of solutions of the KP-equation and the KdV-equation. Math. Nachr. 180, 1996, 43--73 mehr… BibTeX Volltext ( DOI )
1994
1993
- Homogeneous Kähler and pseudo-Kähler manifolds. Proceedings of the International Workshop on Differential Geometry and its Applications (Bucharest, 1993), 1993 mehr… BibTeX
- Soliton equations and differential geometry. Proceedings of the International Workshop on Differential Geometry and its Applications (Bucharest, 1993), 1993 mehr… BibTeX
- Groups associated with a Grassmannian modelled on the Wiener algebra. Integral Equations Operator Theory 17 (4), 1993, 464--500 mehr… BibTeX Volltext ( DOI )
- 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 mehr… BibTeX Volltext ( DOI )
- 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 mehr… BibTeX Volltext ( DOI )
- Constant mean curvature surfaces and loop groups. J. Reine Angew. Math. 440, 1993, 43--76 mehr… BibTeX
1992
- 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 mehr… BibTeX Volltext ( DOI )
- Classification of compact homogeneous pseudo-Kähler manifolds. Comment. Math. Helv. 67 (4), 1992, 499--513 mehr… BibTeX Volltext ( DOI )
- Pseudo-Kählerian homogeneous spaces admitting a reductive transitive group of automorphisms. Math. Z. 209 (1), 1992, 89--100 mehr… BibTeX Volltext ( DOI )
- Principal fiber bundle interpretation of the KP-hierarchy. Publ. Res. Inst. Math. Sci. 28 (4), 1992, 503--533 mehr… BibTeX Volltext ( DOI )
1991
- Automorphisms of the KdV-subvariety. Integral Equations Operator Theory 14 (2), 1991, 192--212 mehr… BibTeX Volltext ( DOI )
- 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 mehr… BibTeX
- Fine structure of reductive pseudo-Kählerian spaces. Geom. Dedicata 39 (3), 1991, 321--338 mehr… BibTeX Volltext ( DOI )
1990
- The biholomorphic curvature of quasisymmetric Siegel domains. J. Differential Geom. 31 (1), 1990, 73--99 mehr… BibTeX
- Special algebraic properties of Kähler algebras. Tsukuba J. Math. 14 (2), 1990, 315--326 mehr… BibTeX Volltext ( DOI )
- Isoparametric triple systems with special $\bf Z$-structure. Algebras Groups Geom. 7 (1), 1990, 21--94 mehr… BibTeX
- 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 mehr… BibTeX Volltext ( DOI )
1989
- Automorphisms of Banach manifolds associated with the KP-equation. Quart. J. Math. Oxford Ser. (2) 40 (158), 1989, 161--195 mehr… BibTeX Volltext ( DOI )
- Proof of the radical conjecture for homogeneous Kähler manifolds. Nagoya Math. J. 114, 1989, 77--122 mehr… BibTeX Volltext ( DOI )
1988
- Flat totally geodesic submanifolds of quasisymmetric Siegel domains. Geom. Dedicata 28 (3), 1988, 321--336 mehr… BibTeX Volltext ( DOI )
- The fundamental conjecture for homogeneous Kähler manifolds. Acta Math. 161 (1-2), 1988, 23--70 mehr… BibTeX Volltext ( DOI )
1986
- The radical conjecture for homogeneous Kähler manifolds. In: Lie algebras and related topics (Windsor, Ont., 1984). Amer. Math. Soc., Providence, RI, 1986, 189--208 mehr… BibTeX
- The fundamental conjecture for homogeneous Kähler manifolds. C. R. Acad. Sci. Paris Sér. I Math. 303 (8), 1986, 335--338 mehr… BibTeX Volltext ( DOI )
1985
- The isotropy representation for homogeneous Siegel domains. Pacific J. Math. 120 (2), 1985, 295--326 mehr… BibTeX
- Variétés homogènes kählériennes. C. R. Acad. Sci. Paris Sér. I Math. 301 (4), 1985, 97--98 mehr… BibTeX
- Homogeneous Kähler manifolds admitting a transitive solvable group of automorphisms. Ann. Sci. École Norm. Sup. (4) 18 (1), 1985, 143--180 mehr… BibTeX
- Simply transitive groups and Kähler structures on homogeneous Siegel domains. Trans. Amer. Math. Soc. 288 (1), 1985, 293--305 mehr… BibTeX Volltext ( DOI )
- Isoparametric hypersurfaces, case $g=6, m=1$. Comm. Algebra 13 (11), 1985, 2299--2368 mehr… BibTeX Volltext ( DOI )
1984
- Classification of certain pairs of operators $(P,\,Q)$ satisfying $[P,\,Q]=-i$ $m̊ Id$. J. Funct. Anal. 57 (3), 1984, 301--328 mehr… BibTeX Volltext ( DOI )
- Isoparametric triple systems of FKM-type. III. Algebras Groups Geom. 1 (3), 1984, 305--343 mehr… BibTeX
1983
- Isoparametric triple systems of FKM-type. I. Abh. Math. Sem. Univ. Hamburg 53, 1983, 191--216 mehr… BibTeX Volltext ( DOI )
- Umkehrbare und nilpotente Polynome. Abh. Math. Sem. Univ. Hamburg 53, 1983, 170--190 mehr… BibTeX Volltext ( DOI )
- Isoparametric triple systems of algebra type. Osaka J. Math. 20 (1), 1983, 145--175 mehr… BibTeX
- Isoparametric triple systems of FKM-type. II. Manuscripta Math. 43 (1), 1983, 13--44 mehr… BibTeX Volltext ( DOI )
- An algebraic approach to isoparametric hypersurfaces in spheres. I, II. Tohoku Math. J. (2) 35 (2), 1983, 187--224, 225--247 mehr… BibTeX Volltext ( DOI )
1980
- Quasiclans. Abh. Math. Sem. Univ. Hamburg 50, 1980, 178--187 mehr… BibTeX Volltext ( DOI )
- Quasisymmetric Siegel domains and the automorphisms of homogeneous Siegel domains. Amer. J. Math. 102 (3), 1980, 537--563 mehr… BibTeX Volltext ( DOI )
1979
- Peirce-Zerlegungen und Jordan-Strukturen zu homogenen Kegeln. Math. Z. 169 (2), 1979, 179--194 mehr… BibTeX Volltext ( DOI )
- Inductive construction of homogeneous cones. Trans. Amer. Math. Soc. 252, 1979, 321--349 mehr… BibTeX Volltext ( DOI )
- Algebraic description of homogeneous cones. Trans. Amer. Math. Soc. 255, 1979, 61--89 mehr… BibTeX Volltext ( DOI )
1978
- 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 mehr… BibTeX Volltext ( DOI )
- Reguläre Kegel. Jahresber. Deutsch. Math.-Verein. 81 (3), 1978, 109--151 mehr… BibTeX
1977
- Relative Invarianten und nicht-assoziative Algebren. Math. Ann. 228 (2), 1977, 147--186 mehr… BibTeX Volltext ( DOI )
1975
- Zur Konstruktion homogener Kegel. Math. Ann. 216, 1975, 79--96 mehr… BibTeX Volltext ( DOI )