RIEMANNIAN FOLIATIONS ON MANIFOLDS WITH NONNEGATIVE CURVATURE

被引：8

作者：

KIM, H

TONDEUR, P

机构：

[1] Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois, 61801

来源：

MANUSCRIPTA MATHEMATICA | 1992年 / 74卷 / 01期

关键词：

D O I：

10.1007/BF02567656

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a Riemannian foliation F satisfying a certain inequality between the turbulence of F and a partial non-negative Ricci curvature is necessarily totally geodesic. The inequality is best possible.

引用

页码：39 / 45

页数：7

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