A formula for the tangent bundle of flag manifolds and related manifolds

Lam, Kee Yuen

doi:10.1090/S0002-9947-1975-0431194-X

A formula for the tangent bundle of flag manifolds and related manifolds
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Trans. Amer. Math. Soc. 213 (1975), 305-314 Request permission

Abstract:

A formula is given for the tangent bundle of a flag manifold G in terms of canonically defined vector bundles over G. The formula leads to a unified proof of some parallelizability theorems of Stiefel manifolds. It can also be used to deduce some immersion theorems for flag manifolds.

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