On the orbit types in a circle action
HTML articles powered by AMS MathViewer
- by Elliott Stein PDF
- Proc. Amer. Math. Soc. 66 (1977), 143-147 Request permission
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
- Glen E. Bredon, Introduction to compact transformation groups, Pure and Applied Mathematics, Vol. 46, Academic Press, New York-London, 1972. MR 0413144
- F. Hirzebruch and K. H. Mayer, $\textrm {O}(n)$-Mannigfaltigkeiten, exotische Sphären und Singularitäten, Lecture Notes in Mathematics, No. 57, Springer-Verlag, Berlin-New York, 1968 (German). MR 0229251
- 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
Additional Information
- © Copyright 1977 American Mathematical Society
- 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