Constant mean curvature surfaces in warped product manifolds

被引：2

作者：

Simon Brendle

机构：

[1] Stanford University,Department of Mathematics

来源：

Publications mathématiques de l'IHÉS | 2013年 / 117卷

关键词：

Scalar Curvature; Curvature Surface; Ricci Tensor; Constant Scalar Curvature; Product Manifold;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider surfaces with constant mean curvature in certain warped product manifolds. We show that any such surface is umbilic, provided that the warping factor satisfies certain structure conditions. This theorem can be viewed as a generalization of the classical Alexandrov theorem in Euclidean space. In particular, our results apply to the deSitter-Schwarzschild and Reissner-Nordstrom manifolds.

引用

页码：247 / 269

页数：22

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