The power of the tangent bundle of the real projective space, its complexification and extendibility

Teiichi Kobayashi,Hironori Yamasaki,Toshio Yoshida

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY（2006）

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摘要

We establish the formulas on the power tau(k) of the tangent bundle tau = tau(RPn) of the real projective n-space RPn and its complexification c tau(k), and apply the formulas to the problem of extendibility and stable extendiblity of tau(k) and c tau(k).

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关键词

vector bundle,tangent bundle,real projective space,extendibility,stable extendibility,KO-theory,K-theory

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