Laguerre Isopararmetric Hypersurfaces in R^4

作     者：Tong Zhu LI Hua Fei SUN 

作者机构：Department of MathematicsBeijing Institute of Technology 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2012年第28卷第6期

页      面：1179-1186页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China (Grant No. 10801006) supported by National Natural Science Foundation of China (Grant No. 10871218) 

主　　题：Laguerre transformation group Laguerre isoparametric hypersurface Laguerre second fundamental form 

摘      要：Let x ： M →R^n be an umbilical free hypersurface with non-zero principal curvatures. Then x is associated with a Laguerre metric g, a Laguerre tensor L, a Laguerre form C, and a Laguerre second fundamental form B which are invariants of x under Laguerre transformation group. A hypersurface x is called Laguerre isoparametric if its Laguerre form vanishes and the eigenvalues of B are constant. In this paper, we classify all Laguerre isoparametric hypersurfaces in R^4.