Vector fields on RP^m x RP^n

Details Vector fields on RP^m x RP^n Vector fields on RP^m x RP^n

2010-12-17

arxiv.org/abs/1012.3952v1

Mathematics

Algebraic Topology

10 pages

Scientific paper

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.

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