Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity, I

Released on by Eldar Straume
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  • Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity, I Book Detail

  • Author : Eldar Straume
  • Release Date : 1996
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 106
  • ISBN 13 : 082180409X
  • File Size : 65,65 MB
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Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity, I by Eldar Straume PDF Summary

Book Description: 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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The Mathematician Sophus Lie

The Mathematician Sophus Lie

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Sophus Lie (1842-1899) is one of Norways greatest scientific talents. His mathematical works have made him famous around the world no less than Niels Henrik Abe