Orientability of vector bundles over real flag manifolds
classification
🧮 math.DG
keywords
bundlesflagmanifoldsorientabilityrealvectorbundlecertain
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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.
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