From the 1 of 3 linked papers with an AI index.
3 papers
math.DG2026
Normal curvature bounds for immersions into Riemannian domains
Matteo Raffaelli
The paper establishes a lower bound for the average normal curvature of closed submanifolds immersed in Riemannian domains, using an invariant that captures optimal n‑trace convexi…
math.DG2026
Total absolute curvature and rigidity of surfaces in Cartan-Hadamard manifolds
Mohammad Ghomi, Joseph Ansel Hoisington, Matteo Raffaelli +1
We show that closed surfaces with minimal total absolute curvature in Cartan-Hadamard 3-manifolds bound flat convex bodies. This generalizes Chern-Lashof's theorem for surfaces in…
math.DG2026
The convex hull of a convex space curve with four vertices
Jakob Bohr, Steen Markvorsen, Matteo Raffaelli
We obtain an upper bound for the volume of the convex hull of a simple closed Frenet curve with exactly four vertices, i.e., four points of vanishing torsion, and lying on the boun…