Stable extendibility of the tangent bundles over the lens spaces
Hiroshima mathematical journal Volume 36 Issue 3
Page 339-351
published_at 2006-11
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| File | |
| Title ( eng ) |
Stable extendibility of the tangent bundles over the lens spaces
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| Creator | |
| Source Title |
Hiroshima mathematical journal
|
| Volume | 36 |
| Issue | 3 |
| Start Page | 339 |
| End Page | 351 |
| Abstract |
The purpose of this paper is to study the stable extendibility of the tangent bundle τ_n(p) of the (2n+1)-dimensional standard lens space L^n(p) for odd prime p. We investigate the value of integer m for which τ_n(p) is stably extendible to L^m(p) but not stably extendible to L^<m+1>(p), and in particular we completely determine m for p=5 or 7. A stable splitting of τ_n(p) and the stable extendibility of a Whitney sum of τ_n(p) are also discussed.
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| Keywords |
tangent bundle
lens space
stably extendible
KO-theory
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| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | departmental bulletin paper |
| Publisher |
Department of Mathematics, Graduate School of Science, Hiroshima University
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| Date of Issued | 2006-11 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0018-2079
[NCID] AA00664323
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