Isoparametric hypersurfaces in Finsler space forms  

作　　者：Qun He Yali Chen Songting Yin Tingting Ren 

机构地区：[1]School of Mathematical Sciences,Tongji University,Shanghai 200092,China [2]Department of Mathematics and Computer Science,Tongling University,Tongling 244000,China

出　　处：《Science China Mathematics》2021年第7期1463-1478,共16页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 11971253 and 11471246);AnHui Natural Science Foundation (Grant No. 1608085MA03)。

摘　　要：In this paper, we study isoparametric hypersurfaces in Finsler space forms by investigating focal points, tubes and parallel hypersurfaces of submanifolds. We prove that the focal submanifolds of isoparametric hypersurfaces are anisotropic-minimal and obtain a general Cartan-type formula in a Finsler space form with vanishing reversible torsion, from which we give some classifications on the number of distinct principal curvatures or their multiplicities.

关 键 词：Finsler space form isoparametric hypersurface focal submanifold Randers space principal curvature anisotropic mean curvature 

分 类 号：O186.11[理学—数学]