Singular Riemannian foliations and their quadratic basic polynomials
Differential Geometry
2016-11-08 v1 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1611.02067,
title = {Singular Riemannian foliations and their quadratic basic polynomials},
author = {Ricardo Mendes and Marco Radeschi},
journal= {arXiv preprint arXiv:1611.02067},
year = {2016}
}