4 citations · 5 across the 3 of their papers we have counts for
3 papers
Two results on the Convex Algebraic Geometry of sets with continuous symmetries
Renato G. Bettiol, Mario Kummer, Ricardo A. E. Mendes
We prove two results on convex subsets of Euclidean spaces invariant under an orthogonal group action. First, we show that invariant spectrahedra admit an equivariant spectrahedral…
Full Laplace spectrum of distance spheres in symmetric spaces of rank one
Renato G. Bettiol, Emilio A. Lauret, Paolo Piccione
We use Lie-theoretic methods to explicitly compute the full spectrum of the Laplace--Beltrami operator on homogeneous spheres which occur as geodesic distance spheres in (compact o…
Subspace foliations and collapse of closed flat manifolds
Renato G. Bettiol, Andrzej Derdzinski, Roberto Mossa +1
We study relations between certain totally geodesic foliations of a closed flat manifold and its collapsed Gromov-Hausdorff limits. Our main results explicitly identify such collap…