MOMENT MAPS AND ISOPARAMETRIC HYPERSURFACES IN SPHERES — HERMITIAN CASES

Transformation Groups ◽

10.1007/s00031-015-9305-1 ◽

2015 ◽

Vol 20 (2) ◽

pp. 417-436

Author(s):

SHINOBU FUJII ◽

HIROSHI TAMARU

Keyword(s):

Isoparametric Hypersurfaces ◽

Moment Maps ◽

Hypersurfaces In Spheres

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Homogeneous isoparametric hypersurfaces in spheres with four distinct principal curvatures and moment maps

Tohoku Mathematical Journal ◽

10.2748/tmj/1277298645 ◽

2010 ◽

Vol 62 (2) ◽

pp. 191-213 ◽

Author(s):

Shinobu Fujii

Keyword(s):

Principal Curvatures ◽

Isoparametric Hypersurfaces ◽

Moment Maps ◽

Hypersurfaces In Spheres

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A new structural approach to isoparametric hypersurfaces in spheres

Annals of Global Analysis and Geometry ◽

10.1007/s10455-017-9563-3 ◽

2017 ◽

Vol 52 (4) ◽

pp. 425-456 ◽

Author(s):

Anna Siffert

Keyword(s):

Structural Approach ◽

Isoparametric Hypersurfaces ◽

Hypersurfaces In Spheres

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Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and N-wave systems

Differential Geometry and its Applications ◽

10.1016/0926-2245(95)00022-4 ◽

1995 ◽

Vol 5 (4) ◽

pp. 335-369 ◽

Author(s):

E.V. Ferapontov

Keyword(s):

Hydrodynamic Type ◽

Isoparametric Hypersurfaces ◽

N Wave ◽

Hypersurfaces In Spheres ◽

Systems Of Hydrodynamic Type

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An algebraic approach to isoparametric hypersurfaces in spheres, II

Tohoku Mathematical Journal ◽

10.2748/tmj/1178229051 ◽

1983 ◽

Vol 35 (2) ◽

pp. 225-247 ◽

Author(s):

Josef Dorfmeister ◽

Erhard Neher

Keyword(s):

Algebraic Approach ◽

Isoparametric Hypersurfaces ◽

Hypersurfaces In Spheres

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On some types of isoparametric hypersurfaces in spheres, II

Tohoku Mathematical Journal ◽

10.2748/tmj/1178240877 ◽

1976 ◽

Vol 28 (1) ◽

pp. 7-55 ◽

Author(s):

Hideki Ozeki ◽

Masaru Takeuchi

Keyword(s):

Isoparametric Hypersurfaces ◽

Hypersurfaces In Spheres

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An algebraic approach to isoparametric hypersurfaces in spheres, I

Tohoku Mathematical Journal ◽

10.2748/tmj/1178229050 ◽

1983 ◽

Vol 35 (2) ◽

pp. 187-224 ◽

Author(s):

Josef Dorfmeister ◽

Erhard Neher

Keyword(s):

Algebraic Approach ◽

Isoparametric Hypersurfaces ◽

Hypersurfaces In Spheres

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On Lagrangian submanifolds in complex hyperquadrics and isoparametric hypersurfaces in spheres

Mathematische Zeitschrift ◽

10.1007/s00209-008-0350-5 ◽

2008 ◽

Vol 261 (4) ◽

pp. 749-785 ◽

Author(s):

Hui Ma ◽

Yoshihiro Ohnita

Keyword(s):

Lagrangian Submanifolds ◽

Isoparametric Hypersurfaces ◽

Hypersurfaces In Spheres

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Classification of isoparametric hypersurfaces in spheres with $(g,m)=(6,1)$

Proceedings of the American Mathematical Society ◽

10.1090/proc/12924 ◽

2015 ◽

Vol 144 (5) ◽

pp. 2217-2230 ◽

Author(s):

Anna Siffert

Keyword(s):

Isoparametric Hypersurfaces ◽

Hypersurfaces In Spheres

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On some types of isoparametric hypersurfaces in spheres, I

Tohoku Mathematical Journal ◽

10.2748/tmj/1178240941 ◽

1975 ◽

Vol 27 (4) ◽

pp. 515-559 ◽

Author(s):

Hideki Ozeki ◽

Masaru Takeuchi

Keyword(s):

Isoparametric Hypersurfaces ◽

Hypersurfaces In Spheres

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On CMC hypersurfaces in 𝕊n+1 with constant Gauß–Kronecker curvature

Advances in Geometry ◽

10.1515/advgeom-2017-0054 ◽

2018 ◽

Vol 18 (2) ◽

pp. 187-192

Author(s):

S. C. de Almeida ◽

F. G. B. Brito ◽

M. Scherfner ◽

S. Weiss

Keyword(s):

Partial Result ◽

Isoparametric Hypersurfaces ◽

Hypersurfaces In Spheres

Abstract After nearly 50 years of research the Chern conjecture for isoparametric hypersurfaces in spheres is still an unsolved and important problem. Here we give a partial result for CMC hypersurfaces with constant Gauß–Kronecker curvature, mainly using a result given in [3] by Otsuki.

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