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de Sitter空间中具有平行中曲率的完备类空子流形的注记
引用本文:郑媛.de Sitter空间中具有平行中曲率的完备类空子流形的注记[J].数学研究,2008,41(4):416-417.
作者姓名:郑媛
作者单位:杭州师范大学数学系,浙江,杭州,310018
摘    要:本文纠正了论文“de Sitter空间中具有平行中曲率的完备类空子流形”证明中的一些失误,证明了de Sitter空间中具有平行中曲率的n维完备类空子流形的—个刚性定理.

关 键 词:de  Sitter空间  完备类空子流形  平行中曲率  全脐子流形

A remark on the Paper "Complete Space-like Submanifolds in de Sitter Space with Paralled Mean Curvature Vector"
Zheng Yuan.A remark on the Paper "Complete Space-like Submanifolds in de Sitter Space with Paralled Mean Curvature Vector"[J].Journal of Mathematical Study,2008,41(4):416-417.
Authors:Zheng Yuan
Institution:ZhengYuan(School of Mathematical Science, Hangzhou Normal University, Zhejiang Hangzhou 310018 )
Abstract:In this note,we correct some errors in the relative paper"Complete Space-like Submanifolds in de Sitter Space with Paralled Mean Curvature Vector"and obtain a rigidity theorem on complete space-like submanifolds with paralled mean curvature vector in de Sitter space.
Keywords:de Sitter space  complete space-like submanifolds  paralled mean curvature  totally umbilical
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