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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On fixed-point free fibrewise maps of projective bundles


Author: David Handel
Journal: Proc. Amer. Math. Soc. 60 (1976), 299-303
MSC: Primary 55F25; Secondary 55F40
MathSciNet review: 0436141
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Abstract: Let E be a vector bundle and $ P(E)$ its associated projective bundle. Some necessary conditions on the characteristic classes of E for existence of a fibrewise fixed-point free map $ P(E) \to P(E)$ are obtained.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0436141-9
PII: S 0002-9939(1976)0436141-9
Keywords: Vector bundle, associated projective bundle, fibrewise fixed-point free map, characteristic classes
Article copyright: © Copyright 1976 American Mathematical Society