3 papers
math.DG2021
Mean curvature flow in homology and foliations of hyperbolic -manifolds
Marco A. M. Guaraco, Vanderson Lima, Franco Vargas Pallete
We study global aspects of the mean curvature flow of non-separating hypersurfaces in closed manifolds. For instance, if has non-vanishing mean curvature, we show its level…
math.DG2019
A two-piece property for free boundary minimal surfaces in the ball
Vanderson Lima, Ana Menezes
We prove that every plane passing through the origin divides an embedded compact free boundary minimal surface of the euclidean -ball in exactly two connected surfaces. We also…
math.DG2017
Area Estimates and Rigidity of Non-compact -Surfaces in 3-Manifolds
Vanderson Lima
For appropriately values of , we obtain an area estimate for a complete non-compact -surface of finite topology and finite area, embedded in a three-manifold of negative curv…