Some results on differentiable actions
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- by Wu-Chung Hsiang and Wu-Yi Hsiang PDF
- Bull. Amer. Math. Soc. 72 (1966), 134-138
References
- Armand Borel, Class functions, conjugacy classes and commutators in semisimple Lie groups, Algebraic groups and Lie groups, Austral. Math. Soc. Lect. Ser., vol. 9, Cambridge Univ. Press, Cambridge, 1997, pp.ย 1โ19. MR 1635671
- Armand Borel, Fixed points of elementary commutative groups, Bull. Amer. Math. Soc. 65 (1959), 322โ326. MR 108793, DOI 10.1090/S0002-9904-1959-10339-6
- A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces. I, Amer. J. Math. 80 (1958), 458โ538. MR 102800, DOI 10.2307/2372795
- Glen E. Bredon, Examples of differentiable group actions, Topology 3 (1965), 115โ122. MR 205273, DOI 10.1016/0040-9383(65)90038-8
- Glen E. Bredon, Transformation groups on spheres with two types of orbits, Topology 3 (1965), 103โ113. MR 205272, DOI 10.1016/0040-9383(65)90037-6
- Wu-chung Hsiang and Wu-yi Hsiang, Some free differentiable actions of $S^{1}$ and $S^{3}$ on $11$-spheres, Quart. J. Math. Oxford Ser. (2) 15 (1964), 371โ374. MR 173266, DOI 10.1093/qmath/15.1.371 7. W. C. Hsiang and W. Y. Hsiang, Classification of differentiable actions on S, Ann. of Math. (to appear). 8. W. C. Hsiang, A note on free differentiable actions of S, Ann. of Math. (to appear). 9. W. Y. Hsiang, On the classification of differentiable SO(n) actions on simply connected π-manifolds, Amer. J. Math. (to appear).
- R. H. Szczarba, On tangent bundles of fibre spaces and quotient spaces, Amer. J. Math. 86 (1964), 685โ697. MR 172303, DOI 10.2307/2373152
- D. Montgomery and C. T. Yang, The existence of a slice, Ann. of Math. (2) 65 (1957), 108โ116. MR 87036, DOI 10.2307/1969667
- G. D. Mostow, Equivariant embeddings in Euclidean space, Ann. of Math. (2) 65 (1957), 432โ446. MR 87037, DOI 10.2307/1970055 13. P. A. Smith, Fixed points of periodic transformations, Algebraic topology, Amer. Math. Soc. Colloq. Publ. Vol. 27, Amer. Math. Soc., Providence, R. I., 1942; Appendix B.
- Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. MR 0039258, DOI 10.1515/9781400883875
Additional Information
- Journal: Bull. Amer. Math. Soc. 72 (1966), 134-138
- DOI: https://doi.org/10.1090/S0002-9904-1966-11453-2
- MathSciNet review: 0187248