The power of the tangent bundle of the real projective space, its complexification and extendibility期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Teiichi Kobayashi Hironori Yamasaki Toshio Yoshida

Institution:	Department of Mathematics, Faculty of Science, Kochi University, Kochi 780--8520, Japan ; Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima 739--8526, Japan ; Department of Mathematics, Faculty of Integrated Arts and Sciences, Hiroshima University, Higashi-Hiroshima 739--8521, Japan

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

Keywords:	Vector bundle tangent bundle real projective space extendibility stable extendibility $KO$-theory $K$-theory

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