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Proceedings of the American Mathematical Society

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On the orbit types in a circle action


Author: Elliott Stein
Journal: Proc. Amer. Math. Soc. 66 (1977), 143-147
MSC: Primary 57E15
DOI: https://doi.org/10.1090/S0002-9939-1977-0451271-4
MathSciNet review: 0451271
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Abstract: An example is constructed of a smooth $ {S^1}$ action on $ {S^5}$ (or $ {R^5}$) which has more orbit types than its slice representation at a fixed point.


References [Enhancements On Off] (What's this?)

  • [1] G. Bredon, Introduction to compact transformation groups, Academic Press, New York, 1972. MR 0413144 (54:1265)
  • [2] F. Hirzebruch and K. H. Mayer, $ O(n)$-Mannigfaltigkeiten, Exotische Sphären und Singularitäten, Lecture Notes in Math., no. 57, Springer-Verlag, Berlin and New York, 1968. MR 0229251 (37:4825)
  • [3] P. S. Mostert (Editor), Proc. Conf. on Transformation Groups (New Orleans, 1967), Springer, New York, 1968, pp. 415-417. MR 41 #2669. MR 0258022 (41:2669)

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DOI: https://doi.org/10.1090/S0002-9939-1977-0451271-4
Article copyright: © Copyright 1977 American Mathematical Society

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