Linear Weingarten spacelike submanifolds in de Sitter space

被引：0
|
作者：
Dan Yang
Zhonghua Hou
机构：
[1] Shenyang University,College of Science
[2] Dalian University of Technology,School of Mathematical Science
来源：
Journal of Geometry | 2012年 / 103卷 / 1期
关键词：
53C42; 53C40; Spacelike submanifolds; linear weingarten submanifolds; totally umbilical submanifolds; mean curvature vector;
D O I：
10.1007/s00022-012-0110-x
中图分类号：
学科分类号：
摘要：
Let Mn be a spacelike linear Weingarten submanifold in a de Sitter space \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${S^{n+p}_{p}(1)}$$\end{document} with R = aH + b, where R and H are the normalized scalar curvature and the length of the mean curvature vector respectively. In this paper, we give intrinsic and extrinsic conditions for Mn to be totally umbilical, respectively.
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页码：177 / 190
页数：13
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