Vector fields on RP^m x RP^n
Algebraic Topology
2010-12-20 v1
Abstract
The span of a manifold is its maximum number of linearly independent vector fields. We discuss the question, still unresolved, of whether span(P^m x P^n) always equals span(P^m) + span(P^n). Here P^n denotes real projective space. We use BP-cohomology to obtain new upper bounds for span(P^m x P^n), much stronger than previously known bounds.
Keywords
Cite
@article{arxiv.1012.3952,
title = {Vector fields on RP^m x RP^n},
author = {Donald M. Davis},
journal= {arXiv preprint arXiv:1012.3952},
year = {2010}
}
Comments
10 pages