Orientability of vector bundles over real flag manifolds

被引：6

作者：

Patrao, Mauro ^{[2
]}

San Martin, Luiz A. B. ^{[1
]}

dos Santos, Laercio J. ^{[3
]}

Seco, Lucas ^{[2
]}

机构：

[1] Univ Estadual Campinas, Inst Math, Campinas, SP, Brazil

[2] Univ Brasilia, Dept Math, Brasilia, DF, Brazil

[3] Univ Fed Juiz de Fora, Dept Math, Juiz De Fora, MG, Brazil

来源：

TOPOLOGY AND ITS APPLICATIONS | 2012年 / 159卷 / 10-11期

基金：

巴西圣保罗研究基金会;

关键词：

Vector bundles; Orientability; Flag manifold; FLOWS;

D O I：

10.1016/j.topol.2012.03.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the orientability of a class of vector bundles over flag manifolds of real semi-simple Lie groups, which include the tangent bundle and also stable bundles of certain gradient flows. Closed formulas, in terms of roots, are provided. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：2774 / 2786

页数：13

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