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Vector fields on RP^m x RP^n | Donald M. Davis
; | Date: |
17 Dec 2010 | 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. | Source: | arXiv, 1012.3952 | Services: | Forum | Review | PDF | Favorites |
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