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Singular Riemannian foliations and their quadratic basic polynomials

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.

preprint2016arXivOpen access
Ricardo MendesMarco Radeschi
math.ACmath.DG
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Ricardo MendesMarco Radeschi

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