The Euler class of an umbilic foliation

被引：1
|
作者：
Goncalves, Icaro [1 ]
Brito, Fabiano [2 ]
机构：
[1] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, BR-05508900 Sao Paulo, SP, Brazil
[2] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-09210170 Santo Andre, Brazil
来源：
COMPTES RENDUS MATHEMATIQUE | 2016年 / 354卷 / 06期
关键词：
D O I：
10.1016/j.crma.2016.03.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a foliation on a manifold with suitable curvature form, the Euler class of its tangent bundle is explicitly computed whenever it admits an umbilic leaf. If the leaf is compact, then topological obstructions arise by considering foliated manifolds with certain trivial cohomology group. The results fully generalize to distributions tangent to at least one compact umbilic submanifold. (C) 2016 Acadmie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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页码：614 / 618
页数：5
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