27 citations · 101 across the 22 of their papers we have counts for
33 papers
Riemannian foliations on CROSSes
Marco Radeschi, Lorenzo Scoffone, Michael Wiemeler
We classify Riemannian foliations of closed manifolds homotopy equivalent to CROSSes.
On the Rational Hyperbolicity problem
Ricardo Mendes, Alessandro Minuzzo, Marco Radeschi
We prove that a compact simply connected manifold with a variationally complete -action satisfying certain mild conditions (e.g. trivial principal isotropy, or simply connec…
Manifold submetries from compact homogeneous spaces
Samuel Lin, Ricardo A. E. Mendes, Marco Radeschi
We show that singular Riemannian foliations, or, more generally, manifold submetries, defined on a compact normal homogeneous space, have algebraic nature. Moreover, in this case t…
Positive curvature and rational ellipticity in cohomogeneity three
Elahe Khalili Samani, Marco Radeschi
We prove that a closed, simply connected, positively curved, cohomogeneity-three manifold whose quotient space has no boundary is rationally elliptic, thus providing a generalizati…
Isoparametric foliations and bounded geometry
Manuel Krannich, Alexander Lytchak, Marco Radeschi
We prove that there are only finitely many isoparametrically foliated closed connected Riemannian manifolds with bounded geometry, fixed dimension , and finite fundamental…
A Weyl's Law for Singular Riemannian Foliations with Applications to Invariant Theory
Samuel Lin, Ricardo A. E. Mendes, Marco Radeschi
We prove a version of Weyl's Law for the basic spectrum of a closed singular Riemannian foliation with basic mean curvature. In the special case of $M=\mathbb{S}^…
Rational ellipticity of -manifolds from their quotients
Elahe Khalili Samani, Marco Radeschi
We prove that if a compact, simply connected Riemannian -manifold has orbit space isometric to some other quotient with having zero topological entropy, then…
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…
How highly connected can an orbifold be?
Christian Lange, Marco Radeschi
On the one hand, we provide the first examples of arbitrarily highly connected (compact) bad orbifolds. On the other hand, we show that n-connected n-orbifolds are manifolds. The l…
Maximality of Laplacian Algebras, with Applications to Invariant Theory
Ricardo A. E. Mendes, Marco Radeschi
We show Laplacian algebras are maximal, and give applications to the Classical Invariant Theory of real orthogonal representations of compact groups, including: The solution of the…
On the structure of Besse convex contact spheres
Marco Mazzucchelli, Marco Radeschi
We consider convex contact spheres all of whose Reeb orbits are closed. Any such admits a stratification by the periods of closed Reeb orbits. We show that "resembles"…
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…
Virtual immersions and minimal hypersurfaces in compact symmetric spaces
Ricardo A. E. Mendes, Marco Radeschi
We show that closed, immersed, minimal hypersurfaces in a compact symmetric space satisfy a lower bound on the index plus nullity, which depends linearly on their first Betti numbe…
A note on the Petersen-Wilhelm conjecture
David González-Álvaro, Marco Radeschi
In this note we consider submersions from compact manifolds, homotopy equivalent to the Eschenburg or Bazaikin spaces of positive curvature. We show that if the submersion is nontr…
Singular Riemannian foliations and their quadratic basic polynomials
Ricardo Mendes, Marco Radeschi
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…
Closure of singular foliations: the proof of Molino's conjecture
Marcos M. Alexandrino, Marco Radeschi
In this paper we prove the conjecture of Molino that for every singular Riemannian foliation , the partition given by the closures of the leave…
On the Berger conjecture for manifolds all of whose geodesics are closed
Marco Radeschi, Burkhard Wilking
A conjecture of Berger states that, for any simply connected Riemannian manifold all of whose geodesics are closed, all prime geodesics have the same length. We firstly show that t…
Torus actions on rationally elliptic manifolds
Fernando Galaz-Garcia, Martin Kerin, Marco Radeschi
An upper bound is obtained on the rank of a torus which can act smoothly and effectively on a smooth, closed, simply connected, rationally elliptic manifold. In the maximal-rank ca…
A Slice Theorem for singular Riemannian foliations, with applications
Ricardo Mendes, Marco Radeschi
We prove a Slice Theorem around closed leaves in a singular Riemannian foliation, and we use it to study the -algebra of smooth basic functions, generalizing to the inhom…
Algebraic nature of singular Riemannian foliations in spheres
Alexander Lytchak, Marco Radeschi
We prove that singular Riemannian foliations in Euclidean spheres can be defined by polynomial equations.