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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] Glen E. Bredon, Introduction to compact transformation groups, Academic Press, New York-London, 1972. Pure and Applied Mathematics, Vol. 46. MR 0413144
  • [2] F. Hirzebruch and K. H. Mayer, 𝑂(𝑛)-Mannigfaltigkeiten, exotische Sphären und Singularitäten, Lecture Notes in Mathematics, No. 57, Springer-Verlag, Berlin-New York, 1968 (German). MR 0229251
  • [3] Paul S. Mostert, Some simple observations about 𝐴_{𝑝} actions, Proc. Conf. on Transformation Groups (New Orleans, La., 1967) Springer, New York, 1968, pp. 415–417. MR 0258022

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