Stable extendibility of the tangent bundles over the lens spaces
| Autor: | Imaoka, Mitsunori |
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| Jazyk: | angličtina |
| Rok vydání: | 2006 |
| Předmět: | |
| Zdroj: | Hiroshima mathematical journal. 36(3):339-351 |
| Popis: | 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^(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. |
| Databáze: | OpenAIRE |
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