Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661103 | Topology and its Applications | 2007 | 11 Pages |
Abstract
The purpose of this paper is to study the stable extendibility of the tangent bundle τn(p) over the (2n+1)-dimensional standard lens space Ln(p) for odd prime p. We investigate for which m the tangent bundle τn(p) is stably extendible to Lm(p) but is not stably extendible to Lm+1(p), where we consider m=∞ if τn(p) is stably extendible to Lk(p) for any k⩾n, and determine m in the case n⩾p−3.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology