On fixed-point free fibrewise maps of projective bundles
HTML articles powered by AMS MathViewer
- by David Handel PDF
- Proc. Amer. Math. Soc. 60 (1976), 299-303 Request permission
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.References
- I. M. James, On sphere-bundles. I, Bull. Amer. Math. Soc. 75 (1969), 617–621. MR 242184, DOI 10.1090/S0002-9904-1969-12266-4
- I. M. James, On sphere-bundles. II, Bull. London Math. Soc. 1 (1969), 323–328. MR 286125, DOI 10.1112/blms/1.3.323
- I. M. James, Bundles with special structure. I, Ann. of Math. (2) 89 (1969), 359–390. MR 243547, DOI 10.2307/1970674
- Robert E. Stong, Notes on cobordism theory, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. Mathematical notes. MR 0248858
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 60 (1976), 299-303
- MSC: Primary 55F25; Secondary 55F40
- DOI: https://doi.org/10.1090/S0002-9939-1976-0436141-9
- MathSciNet review: 0436141