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Homogeneity and Canonical Connections of Isoparametric Manifolds

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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.

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  1. Technische Universitäat Berlin, Straße des 17. Juni 136, 10623, Berlin, Germany

    Katrin Leschke (Fachbereich Mathematik)

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  1. Katrin Leschke
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Leschke, K. Homogeneity and Canonical Connections of Isoparametric Manifolds. Annals of Global Analysis and Geometry 15, 51–69 (1997). https://doi.org/10.1023/A:1006585108364

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