An extension of a theorem of Serrin to graphs in warped products

被引：16

作者：

Dajczer, M ^{[1
]}

Ripoll, J ^{[1
]}

机构：

[1] IMPA, BR-22460320 Rio De Janeiro, Brazil

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2005年 / 15卷 / 02期

关键词：

constant mean curvature graph; warped product;

D O I：

10.1007/BF02922192

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we extend a well known theorem of J. Serrin about existence and uniqueness of graphs of constant mean curvature in Euclidean space to a broad class of Riemannian manifolds. Our result also generalizes several others proved recently and includes the new case of Euclidean "rotational" graphs with constant mean curvature.

引用

页码：193 / 205

页数：13

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