Orientability of vector bundles over real flag manifolds
Differential Geometry
2011-06-29 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1012.0182,
title = {Orientability of vector bundles over real flag manifolds},
author = {Mauro Patrão and Luiz A. B. San Martin and Laércio J. dos Santos and Lucas Seco},
journal= {arXiv preprint arXiv:1012.0182},
year = {2011}
}
Comments
26 pages