2 papers
math.DG2025
Area estimates for capillary cmc hypersurfaces with nonpositive Yamabe invariant
Leandro F. Pessoa, Erisvaldo Véras, Bruno Vieira
We prove area estimates for stable capillary (minimal) hypersurfaces with nonpositive Yamabe invariant that are properly immersed in a Riemannian -dimensional manifold…
math.DG2023
Mean exit times from submanifolds with bounded mean curvature
G. Pacelli Bessa, Steen Markvorsen, Leandro F. Pessoa
We show that submanifolds with infinite mean exit time can not be isometrically and minimally immersed into cylinders, horocylinders, cones, and wedges of some product spaces. Our…