An introduction to spherical orbit spaces

Jill Mcgowan and Catherine Searle

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 32, 1-17

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:435915

DOI: 10.1155/S0161171202012115

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