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

Authors:
Teiichi Kobayashi, Hironori Yamasaki and Toshio Yoshida

Journal:
Proc. Amer. Math. Soc. **134** (2006), 303-310

MSC (2000):
Primary 55R50; Secondary 55N15

DOI:
https://doi.org/10.1090/S0002-9939-05-07971-2

Published electronically:
June 13, 2005

MathSciNet review:
2170572

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Abstract | References | Similar Articles | Additional Information

Abstract: We establish the formulas on the power of the tangent bundle of the real projective -space and its complexification , and apply the formulas to the problem of extendibility and stable extendiblity of and .

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Additional Information

**Teiichi Kobayashi**

Affiliation:
Department of Mathematics, Faculty of Science, Kochi University, Kochi 780–8520, Japan

Email:
kteiichi@lime.ocn.ne.jp

**Hironori Yamasaki**

Affiliation:
Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima 739–8526, Japan

Email:
d042710@math.sci.hiroshima-u.ac.jp

**Toshio Yoshida**

Affiliation:
Department of Mathematics, Faculty of Integrated Arts and Sciences, Hiroshima University, Higashi-Hiroshima 739–8521, Japan

Email:
t-yosida@mis.hiroshima-u.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-05-07971-2

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

Received by editor(s):
June 1, 2004

Received by editor(s) in revised form:
August 30, 2004

Published electronically:
June 13, 2005

Communicated by:
Paul Goerss

Article copyright:
© Copyright 2005
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.