4 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AG2024
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…
math.DG2020★ 4 cited
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…
math.DG2010★ 1 cited
Generic properties of semi-Riemannian geodesic flows
Renato G. Bettiol
Let M be a possibly non compact smooth manifold. We study genericity in the C^k-topology (3<=k<=+infty) of nondegeneracy properties of semi-Riemannian geodesic flows on M. Namely,…