The power of the tangent bundle of the real projective space, its complexification and extendibility
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- by Teiichi Kobayashi, Hironori Yamasaki and Toshio Yoshida PDF
- Proc. Amer. Math. Soc. 134 (2006), 303-310 Request permission
Abstract:
We establish the formulas on the power $\tau ^k$ of the tangent bundle $\tau =\tau (RP^n)$ of the real projective $n$-space $RP^n$ and its complexification $c\tau ^k$, and apply the formulas to the problem of extendibility and stable extendiblity of $\tau ^k$ and $c\tau ^k$.References
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Additional Information
- Teiichi Kobayashi
- Affiliation: Department of Mathematics, Faculty of Science, Kochi University, Kochi 780β8520, Japan
- Email: kteiichi@lime.ocn.ne.jp
- Hironori Yamasaki
- Affiliation: Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima 739β8526, 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 739β8521, Japan
- Email: t-yosida@mis.hiroshima-u.ac.jp
- 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
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - 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
- MathSciNet review: 2170572