Homogeneity and Canonical Connections of Isoparametric Manifolds |
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Authors: | Katrin Leschke |
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Affiliation: | 1. Technische Universit?at Berlin, Stra?e des 17. Juni 136, 10623, Berlin, Germany
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Abstract: | On every isoparametric submanifold M a connection with parallel second fundamental form is constructed geometrically such that M is an orbit of an s-representation if and only if the connection is a canonical one. If the rank of M is greater than one this connection is in case of homogeneity the canonical connection of the reductive decomposition given by the orbit of s-representation. This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | canonical connection homogeneity isoparametric |
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