Borsuk-Ulam theorems for arbitrary $S^{1}$ actions and applications
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- by E. R. Fadell, S. Y. Husseini and P. H. Rabinowitz PDF
- Trans. Amer. Math. Soc. 274 (1982), 345-360 Request permission
Abstract:
An ${S^1}$ version of the Borsuk-Ulam Theorem is proved for a situation where Fix ${S^1}$ may be nontrivial. The proof is accomplished with the aid of a new relative index theory. Applications are given to intersection theorems and the existence of multiple critical points is established for a class of functional invariant under an ${S^1}$ symmetry.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 274 (1982), 345-360
- MSC: Primary 55M20; Secondary 58E05
- DOI: https://doi.org/10.1090/S0002-9947-1982-0670937-0
- MathSciNet review: 670937