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Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity II Book PDF Summary

The cohomogeneity of a transformation group ([italic capitals]G, X) is, by definition, the dimension of its orbit space, [italic]c = dim [italic capitals]X, G. We are concerned with the classification of differentiable compact connected Lie transformation groups on (homology) spheres, with [italic]c [less than or equal to symbol] 2, and the main results are summarized in five theorems, A, B, C, D, and E in part I. This paper is part II of the project, and addresses theorems D and E. D examines the orthogonal model from theorem A and orbit structures, while theorem E addresses the existence of "exotic" [italic capital]G-spheres.

Detail Book of Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity II PDF

Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity  II
  • Author : Eldar Straume
  • Release : 20 September 1997
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821804834
  • Genre : Mathematics
  • Total Page : 90 pages
  • Language : English
  • PDF File Size : 11,8 Mb

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