Some examples of spherical orbit spaces with cohomogeneity 2 (Q2755348)

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scientific article; zbMATH DE number 1669813
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Some examples of spherical orbit spaces with cohomogeneity 2
scientific article; zbMATH DE number 1669813

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    7 June 2002
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    orbit spaces
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    cohomogeneity two actions
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    isotropy groups
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    Some examples of spherical orbit spaces with cohomogeneity 2 (English)
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    The authors give in the first half of the paper an elementary introduction to some basic concepts from the theory of Lie group actions on differentiable manifolds. In the second half of the paper they discuss in detail three examples of actions on spheres that have cohomogeneity two (meaning that the orbits of maximal dimension have codimension two). The diameters of the orbit spaces and the isotropy groups of these actions are listed in a table at the end of the paper.
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