Spacelike isoparametric hypersurfaces

作者：Sanmartin Lopez Victor^*

来源：Differential Geometry and its Applications, 2017, 54: 53-58.

DOI：10.1016/j.difgeo.2016.12.006

• Lorentzian space forms
• Anti-De Sitter space
• Isoparametric hypersurface

We generalise Ferus' work to study isoparametric hypersurfaces in semi-Riemannian space forms focusing, in this particular case, on anti-De Sitter spaces. We will show that two is an upper bound for the number of principal curvatures in a spacelike isoparametric hypersurface in the anti-De Sitter space. This fact will lead us to deduce a partial classification of isoparametric hypersurfaces in anti-De Sitter spaces.

• 出版日期2017-10