4 papers · 1 filter
On the first width of hyperbolic surfaces: multiplicity and lower bounds
Vanderson Lima
On a closed Riemannian surface of negative curvature, we prove a characterization for configurations of closed geodesics arising from one parameter Allen-Cahn min-max constructions…
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…
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…
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…