2 papers
math.DG2026
Topology of stable free boundary CMC surfaces under lower Ricci curvature bounds
Railane Antonia, Marcos P. Cavalcante, Vinicius Souza
We establish intrinsic area--length--topology inequalities for compact free boundary constant mean curvature (CMC) surfaces in three-manifolds with Ricci curvature bounded from bel…
math.DG2026
Second Robin eigenvalue bounds for Schrödinger operators on Riemannian surfaces
Railane Antonia, Marcos P. Cavalcante, Vinicius Souza
Let be a compact Riemannian surface, possibly with boundary, and consider Schrödinger-type operators of the form together with natural Robin and Steklov-…