Ricardo Mendes (University of Oklahoma)

October 1, 2021

Manifold submetries and Laplacian algebras.

Manifold submetries are a geometric generalization of isometric group actions, as well as of singular Riemannian foliations. For the round sphere, we show that manifold submetries are in one-one correspondence with a certain class of algebras of polynomials intimately related to the Laplace operator. Surprisingly, this broader point of view yields interesting new results in Classical Invariant Theory. (Joint work with Marco Radeschi)

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