We consider homogeneous spaces G/K with G a simple compact Lie group, endowed with an arbitrary G-invariant Riemannian metric. We classify those spaces where the action of K on G/K is polar and show that such spaces are locally symmetric. Moreover we give a classification of pairs (G, K) with G compact semisimple such that K has polar linear isotropy representation.

Homogeneous spaces with polar isotropy / F. PODESTA'; A. KOLLROSS. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 110:(2003), pp. 487-503. [10.1007/s00229-002-0345-1]

Homogeneous spaces with polar isotropy

PODESTA', FABIO;
2003

Abstract

We consider homogeneous spaces G/K with G a simple compact Lie group, endowed with an arbitrary G-invariant Riemannian metric. We classify those spaces where the action of K on G/K is polar and show that such spaces are locally symmetric. Moreover we give a classification of pairs (G, K) with G compact semisimple such that K has polar linear isotropy representation.
2003
110
487
503
F. PODESTA'; A. KOLLROSS
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/312056
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