Total Extrinsic Curvature of Certain Distributions on Closed Spaces of Constant Curvature

被引:0
作者
F. B. Brito
A. M. Naveira
机构
[1] Universidade de São Paulo,Instituto de Matemática e Estatística
[2] Departamento de Geometría y Topología,undefined
[3] Facultad de Matemáticas,undefined
来源
Annals of Global Analysis and Geometry | 2000年 / 18卷
关键词
curvature; distributions; foliations; integral formula; totally geodesic;
D O I
暂无
中图分类号
学科分类号
摘要
An integral formula for symmetric functions of curvature ofdistributions on closed constant nonnegative sectional curvature spacesis proved. The distributions under consideration are orthogonal to atotally geodesic foliation and the main theorem extends a previousresult concerning the total curvature of codimension-one foliations.
引用
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页码:371 / 383
页数:12
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