9 papers
On the topology of leaves of singular Riemannian foliations
Marco Radeschi, Elahe Khalili Samani
In this paper, we establish a number of results about the topology of the leaves of a closed singular Riemannian foliation $(M,\fol)$. If is simply connected, we prove that the…
Polar foliations on symmetric spaces and the mean curvature flow
Xiaobo Liu, Marco Radeschi
In this paper, we study polar foliations on simply connected symmetric spaces with non-negative curvature. We will prove that all such foliations are isoparametric as defined by He…
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…
Odd-dimensional orbifolds with all geodesics closed are covered by manifolds
Manual Amann, Christian Lange, Marco Radeschi
Manifolds all of whose geodesics are closed have been studied a lot, but there are only few examples known. The situation is different if one allows in addition for orbifold singul…
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…
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…