Symmetry of manifolds and their lower homotopy groups

Amir H. Assadi; Dan Burghelea

Bulletin de la Société Mathématique de France (1983)

  • Volume: 111, page 97-108
  • ISSN: 0037-9484

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Assadi, Amir H., and Burghelea, Dan. "Symmetry of manifolds and their lower homotopy groups." Bulletin de la Société Mathématique de France 111 (1983): 97-108. <http://eudml.org/doc/87456>.

@article{Assadi1983,
author = {Assadi, Amir H., Burghelea, Dan},
journal = {Bulletin de la Société Mathématique de France},
keywords = {symmetries of manifolds; compact Lie group actions; r-stage Postnikov approximation; rational homology},
language = {eng},
pages = {97-108},
publisher = {Société mathématique de France},
title = {Symmetry of manifolds and their lower homotopy groups},
url = {http://eudml.org/doc/87456},
volume = {111},
year = {1983},
}

TY - JOUR
AU - Assadi, Amir H.
AU - Burghelea, Dan
TI - Symmetry of manifolds and their lower homotopy groups
JO - Bulletin de la Société Mathématique de France
PY - 1983
PB - Société mathématique de France
VL - 111
SP - 97
EP - 108
LA - eng
KW - symmetries of manifolds; compact Lie group actions; r-stage Postnikov approximation; rational homology
UR - http://eudml.org/doc/87456
ER -

References

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  1. [Be] BERSTEIN (I.). — On Covering Spaces and Lie Group Actions, preprint, June 1981. 
  2. [B] BREDON (G.). — Introduction to Compact Transformation Groups, Academic Press, 1972. Zbl0246.57017MR54 #1265
  3. [A-B] ASSADI (A.) and BURGHELEA (D.). — Examples of Asymmetric Differentiable Manifolds, Math. Ann., Vol. 255, 1981, p. 423-430. Zbl0437.57021MR83a:57053
  4. [B-H] BROWDER (W.) and HSIANG (W. C.). — G-actions and the Fundamental Group (to appear in Inv. Math.). Zbl0519.57034
  5. [B-S] BURGHELEA (D.) and SCHULTZ (R.). — On the Semisimple Degree of Symmetry, Bull. Soc. math. France, T. 103, 1975, pp. 433-440. Zbl0321.57025MR53 #1614
  6. [C-R] CONNER (P.) and RAYMOND (F.). — Actions of Compact Lie Groups on Aspherical Manifolds, Topology of Manifolds, CANTRELL and EDWARDS, Ed., Markham, Chicago, 1970, pp. 227-264. Zbl0312.57025MR42 #6839
  7. [C-R]2 CONNER (P.) and RAYMOND (F.). — Injective Operations on the Toral Actions, Topology, Vol. 10, pp. 280-296. Zbl0236.57023
  8. [F-M] FREEDMAN (M.) and MEEKS (W.). — Une obstruction élémentaire à l'existence d'une action continue de groupe dans une variété, C.R. Acad. Sc. Paris, T. 28, Série A, 1978. Zbl0373.57021MR58 #24303
  9. [H-H] HSIANG (W. C.) and HSIANG (W. Y.). — Differentiable Actions of Compact Connected Classical Groups II, Ann. of Math., Vol. 92, 1970, pp. 189-223. Zbl0205.53902MR42 #420
  10. [K-K] KU (H. T.) and KU (M. C.). — Group Actions on Ak-Manifolds, Trans. A.M.S., Vol. 245, 1978, pp. 469-492. Zbl0364.57010MR80d:57021
  11. [S-Y] SCHOEN (R.) and YAU (S. T.). — Compact Group Actions and the Topology of Manifolds with Non-positive Curvature, Topology, Vol. 18, 1979, pp. 361-380. Zbl0424.58012MR81a:53044
  12. [Y] YAU (S. T.). — Remarks on the Group of Isometrics of a Riemannian Manifold, Topology, Vol. 16, 1977. Zbl0372.53020MR56 #6686

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