S_1^(n+1)中的Ⅲ型全脐洛伦兹等参超曲面  

Totally umbilical Lorentzian isoparametric hypersurfaces of type Ⅲ in S_1^(n+1)

作　　者：黎镇琦[1] 尹佳斌[1] 万学远 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（理科版）》2014年第6期511-520,共10页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11361041;11261038)

摘　　要：研究洛伦兹球面Sn+11中的Ⅲ型全脐洛伦兹等参超曲面,证明了这种超曲面的存在性定理和唯一性定理,给出了它的解析表达式。It studied the totally umbilical Lorentzian isoparametric hypersurfaces of type III in the Lorentzian sphere S1^n＋1.The existence and uniqueness theorems for this kind of hypersurface were given.The analytic expression of such hypersurface was provided as well.

关 键 词：洛伦兹球面 洛伦兹超曲面 等参超曲面 

分 类 号：O186[理学—数学]