Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity, I
Eldar Straume
Jan 1996 · American Mathematical Soc.
Ebook
93
Pages
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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. By enlarging this simple numerical invariant, but suitably restricted, one gradually increases the complexity of orbit structures of transformation groups. This is a natural program for classical space forms, which traditionally constitute the first canonical family of testing spaces, due to their unique combination of topological simplicity and abundance in varieties of compact differentiable transformation groups.
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