Horizontally homothetic submersions and nonnegative curvature

被引：6

作者：

Ou, Ye-Lin ^{[1
]}

Wilhelm, Frederick ^{[1
]}

机构：

[1] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2007年 / 56卷 / 01期

基金：

美国国家科学基金会;

关键词：

horizontally homothetic submersion; Riemannian submersion; nonnegative curvature;

D O I：

10.1512/iumj.2007.56.2999

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that any horizontally homothetic submersion from a compact manifold of nonnegative sectional curvature is a Riemannian submersion.

引用

页码：243 / 261

页数：19

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