Vector fields on RP^m x RP^n

Donald M. Davis

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arXiv · 1012.3952

Vector fields on RP^m x RP^n

Donald M. Davis

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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.

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Donald M. Davis. 2010-12-17. Vector fields on RP^m x RP^n. https://arxiv.org/abs/1012.3952

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