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An introduction to spherical orbit spaces

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  • Jill Mcgowan
  • Catherine Searle

Abstract

Consider a compact, connected Lie group G acting isometrically on a sphere S n of radius 1 . Two-dimensional quotient spaces of the type S n / G have been investigated extensively. This paper provides an elementary introduction, for nonspecialists, to this important field by way of several classical examples and supplies an explicit list of all the isotropy subgroups involved in these examples.

Suggested Citation

  • Jill Mcgowan & Catherine Searle, 2002. "An introduction to spherical orbit spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 32, pages 1-17, January.
    • Handle: RePEc:hin:jijmms:435915
    DOI: 10.1155/S0161171202012115
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