3 papers
math.AP2025
On the principal eigenvalue of the truncated Laplacian, and submanifolds with bounded mean curvature
Gregório Pacelli F. Bessa, Luquésio Petrola de M. Jorge, Luciano Mari
In this paper, we study the principal eigenvalue of the fully nonlinear operator \[ \mathscr{F}_k^-[u] = \mathcal{P}_k^-(\nabla^2 u) - h |\nabla u| \] on a…
math.DG2025
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…
math.DG2024
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…