Showing math.DGShow all
3 papers · 1 filter
math.DG2019
Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem
Ricardo A. E. Mendes, Marco Radeschi
Manifold submetries of the round sphere are a class of partitions of the round sphere that generalizes both singular Riemannian foliations, and the orbit decompositions by the orth…
math.DG2018
Robust index bounds for minimal hypersurfaces of isoparametric submanifolds and symmetric spaces
Claudio Gorodski, Ricardo A. E. Mendes, Marco Radeschi
We find many examples of compact Riemannian manifolds whose closed minimal hypersurfaces satisfy a lower bound on their index that is linear in their first Betti number. Mo…
math.DG2017
Virtual immersions, and a characterization of symmetric spaces
Ricardo A. E. Mendes, Marco Radeschi
We define virtual immersions, as a generalization of isometric immersions in a pseudo-Riemannian vector space. We show that virtual immersions possess a second fundamental form, wh…