Total extrinsic curvature of certain distributions on closed spaces of constant curvature

被引：7

作者：

Brito, FB

Naveira, AM

机构：

[1] Univ Sao Paulo, Inst Matemat & Estatist, BR-05315970 Sao Paulo, Brazil

[2] Fac Matemat, Dept Geometria & Topol, Valencia 46100, Spain

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2000年 / 18卷 / 3-4期

关键词：

curvature; distributions; foliations; integral formula; totally geodesic;

D O I：

10.1023/A:1006784702342

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An integral formula for symmetric functions of curvature of distributions on closed constant nonnegative sectional curvature spaces is proved. The distributions under consideration are orthogonal to a totally geodesic foliation and the main theorem extends a previous result concerning the total curvature of codimension-one foliations.

引用

页码：371 / 383

页数：13