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.
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收藏
页码：371 / 383
页数：13
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