Stable extendibility of vector bundles over lens spaces mod 3 and the stable splitting problem |
| |
Authors: | Yutaka Hemmi Teiichi Kobayashi Kazushi Komatsu |
| |
Affiliation: | aDepartment of Mathematics, Faculty of Science, Kochi University, 2-5-1 Akebono-cho, Kochi 780-8520, Japan;bAsakura-ki 292-21, Kochi 780-8066, Japan |
| |
Abstract: | Let Ln(3) denote the (2n+1)-dimensional standard lens space mod 3. In this paper, we study the conditions for a given real vector bundle over Ln(3) to be stably extendible to Lm(3) for every mn, and establish the formula on the power ζk=ζζ (k-fold) of a real vector bundle ζ over Ln(3). Moreover, we answer the stable splitting problem for real vector bundles over Ln(3) by means of arithmetic conditions. |
| |
Keywords: | Stable extendibility Extendibility Lens space Vector bundle Power of vector bundle Tangent bundle Power of tangent bundle KO-theory |
本文献已被 ScienceDirect 等数据库收录! |
|