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SINGULAR RIEMANNIAN FOLIATIONS AND THEIR QUADRATIC BASIC POLYNOMIALS

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Abstract

We present a new link between the Invariant Theory of infinitesimal singular Riemannian foliations and Jordan algebras. This, together with an inhomogeneous version of Weyl's First Fundamental Theorems, provides a characterization of the recently discovered Clifford foliations in terms of basic polynomials. This link also yields new structural results about infinitesimal foliations, such as the existence of non-trivial symmetries.

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Authors and Affiliations

  1. Mathematisches Institut, Universität zu Köln, Köln, Germany

    R. A. E. MENDES

  2. Department of Mathematics, University of Notre Dame, Notre Dame, IN, USA

    M. RADESCHI

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  1. R. A. E. MENDES
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  2. M. RADESCHI
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Correspondence to R. A. E. MENDES.

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R. A. E. MENDES received support from SFB 878: Groups, Geometry & Actions.

M. RADESCHI received support from SFB 878: Groups, Geometry & Actions.

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MENDES, R.A.E., RADESCHI, M. SINGULAR RIEMANNIAN FOLIATIONS AND THEIR QUADRATIC BASIC POLYNOMIALS. Transformation Groups 25, 251–277 (2020). https://doi.org/10.1007/s00031-019-09516-9

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