Degree Theory for Equivariant Maps, the General $S^1$-Action

Released on by Jorge Ize
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  • Degree Theory for Equivariant Maps, the General $S^1$-Action Book Detail

  • Author : Jorge Ize
  • Release Date : 1992
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 194
  • ISBN 13 : 0821825429
  • File Size : 75,75 MB
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Degree Theory for Equivariant Maps, the General $S^1$-Action by Jorge Ize PDF Summary

Book Description: In this paper, we consider general [italic]S1-actions, which may differ on the domain and on the range, with isotropy subspaces with one dimension more on the domain. In the special case of self-maps the [italic]S1-degree is given by the usual degree of the invariant part, while for one parameter [italic]S1-maps one has an integer for each isotropy subgroup different from [italic]S1. In particular we recover all the [italic]S1-degrees introduced in special cases by other authors and we are also able to interpret period doubling results on the basis of our [italic]S1-degree. The applications concern essentially periodic solutions of ordinary differential equations.

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