75 citations · 184 across the 34 of their papers we have counts for
38 papers · 1 filter
Concentration of mean exit times
G. Pacelli Bessa, Vicent Gimeno i Garcia, Vicente Palmer
The mean exit time function defined on the -tube around any equator of the sphere , (), goes to infinity wit…
Gap theorems for complete self-shrinkers of -mean curvature flows
Hilário Alencar, G. Pacelli Bessa, Gregório Silva Neto
In this paper, we prove gap results for complete self-shrinkers of the -mean curvature flow involving a modified second fundamental form. These results extend previous results f…
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…
On the Cylinder Theorem in
João L. M. Barbosa, G. Pacelli Bessa
Consider a surface with Gaussian curvature either or . We prove that in cylinders are characterized as the hypersurfaces with both the ext…
Half-space theorems for -surfaces of
G. Pacelli Bessa, Tiarlos Cruz, Leandro F. Pessoa
In this paper we investigate the intersection problem for -surfaces immersed in a complete Riemannian three-manifold with Ricci curvature bounded from below by . We firs…
The spectrum of the Laplacian and volume growth of proper minimal submanifolds
G. Pacelli Bessa, Vicent Gimeno, Panagiotis Polymerakis
We give upper bounds for the bottom of the essential spectrum of properly immersed minimal submanifolds of in terms of their volume growth. Our result improves the…