11 citations · 42 across the 14 of their papers we have counts for
3 papers · 1 filter
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…
Convex Algebraic Geometry of Curvature Operators
Renato G. Bettiol, Mario Kummer, Ricardo A. E. Mendes
We study the structure of the set of algebraic curvature operators satisfying a sectional curvature bound under the light of the emerging field of Convex Algebraic Geometry. More p…
A diameter gap for quotients of the unit sphere
Claudio Gorodski, Christian Lange, Alexander Lytchak +1
We prove that for any isometric action of a group on a unit sphere of dimension larger than one, the quotient space has diameter zero or larger than a universal dimension-independe…