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arXiv · 1611.02067

Singular Riemannian foliations and their quadratic basic polynomials

Ricardo Mendes·Marco Radeschi
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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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Ricardo Mendes, Marco Radeschi. 2016-11-07. Singular Riemannian foliations and their quadratic basic polynomials. https://arxiv.org/abs/1611.02067

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