On the semisimple degree of symmetry
Bulletin de la Société Mathématique de France, Tome 103 (1975), pp. 433-440.
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     author = {Burghelea, Dan and Schultz, Reinhard},
     title = {On the semisimple degree of symmetry},
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Burghelea, Dan; Schultz, Reinhard. On the semisimple degree of symmetry. Bulletin de la Société Mathématique de France, Tome 103 (1975), pp. 433-440. doi : 10.24033/bsmf.1810. https://www.numdam.org/articles/10.24033/bsmf.1810/

[1] Borel (A.) [Editor]. - Seminar on transformation on groups. - Princeton, Princeton University Press, 1960 (Annals of Mathematics Studies, 46). | MR | Zbl

[2] Bredon (G.). - Introduction to compact transformation groups. - New York, Academic Press, 1972 (Pure and applied Mathematics, 46). | MR | Zbl

[3] Hsiang (W.-Y.). - On the degree of symmetry and the structure of highly symmetric manifolds, Tamkang J. Math., t. 2, 1971, p. 1-22. | MR | Zbl

[4] Hsiang (W.-Y.). - On the splitting principle and the geometric weight systems of topological transformation groups, I., "Proceedings of the second conference on compact transformation groups [1971, Amherst]", vol. 1, p. 334-402. - Berlin, Springer-Verlag, 1972 (Lectures Notes in Mathematics, 298). | MR | Zbl

[5] Lawson (H. B.) and Yau (S.-T.). - Scalar curvature, nonabelian group actions, and the degree of symmetry of exotic spheres, Comment. Math. Helvet., t. 49, 1974, p. 232-244. | MR | Zbl

[6] May (J. P.). - Matric Massey products, J. of Algebra, t. 12, 1969, p. 533-568. | MR | Zbl

[7] Montgomery (D.) and Zippin (L.). - Topological transformation groups. - New York, Interscience Publishers, 1955 (Interscience Tracts in pure and applied Mathematics, 1). | MR | Zbl

[8] Swan (R.). - The theory of sheaves. - Chicago, University of Chicago Press, 1964. | Zbl

[9] Yau (S.-T.). - Remarks on the group of isometries of a riemannian manifold, SUNY at Stony Brook, 1974 (multigr.).

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  • Xu, Bin The Degree of Symmetry of Certain Compact Smooth Manifolds II*, Chinese Annals of Mathematics, Series B, Volume 28 (2007) no. 2, p. 195 | DOI:10.1007/s11401-005-0578-x
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  • Lewkowicz, Marek Positive scalar curvature and local actions of nonabelian Lie groups, Journal of Differential Geometry, Volume 31 (1990) no. 1 | DOI:10.4310/jdg/1214444088
  • Watabe, Tsuyoshi Semisimple degree of symmetry and maps of nonzero degree into a product of 1-spheres and 2-spheres, Tohoku Mathematical Journal, Volume 37 (1985) no. 1 | DOI:10.2748/tmj/1178228721
  • Ku, Hsü Tung Group actions on aspherical 𝐴_𝑘(𝑁)-manifolds with nonzero Euler characteristics, Proceedings of the American Mathematical Society, Volume 90 (1984) no. 3, p. 459 | DOI:10.1090/s0002-9939-1984-0728369-x
  • Schwartzman, Sol A split action associated with a compact transformation group, Proceedings of the American Mathematical Society, Volume 83 (1981) no. 4, p. 817 | DOI:10.1090/s0002-9939-1981-0630061-4
  • Schultz, Reinhard Group actions on hypertoral manifolds. I, Topology Symposium Siegen 1979, Volume 788 (1980), p. 364 | DOI:10.1007/bfb0099255
  • Ku, Hsü Tung; Ku, Mei Chin Group actions on 𝐴_𝑘-manifolds, Transactions of the American Mathematical Society, Volume 245 (1978) no. 0, p. 469 | DOI:10.1090/s0002-9947-1978-0511424-9

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