Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity. II: Part 2
Eldar Straume
Jan 1997 · Memoirs of the American Mathematical Society: American Mathematical Society Book 595 · American Mathematical Soc.
Ebook
76
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About this ebook
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.
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