8 citations · 12 across the 9 of their papers we have counts for
11 papers
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…
Eigenvalue problems and free boundary minimal surfaces in spherical caps
Vanderson Lima, Ana Menezes
Given a compact surface with boundary, we introduce a family of functionals on the space of its Riemannian metrics, defined via eigenvalues of a Steklov-type problem. We prove that…
A two-piece property for free boundary minimal hypersurfaces in the -dimensional ball
Vanderson Lima, Ana Menezes
We prove that every hyperplane passing through the origin in $\rr^{n+1}$ divides an embedded compact free boundary minimal hypersurface of the euclidean -ball in exactly two…
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…
Min-max minimal surfaces, horizons and electrostatic systems
Tiarlos Cruz, Vanderson Lima, Alexandre de Sousa
We present a connection between minimal surfaces of index one and General Relativity. First, we show that for a certain class of (electro)static systems, each of its unstable horiz…
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…
On a conjecture of Meeks, Pérez and Ros
Vanderson Lima
Meeks, Pérez and Ros conjectured that a closed Riemannian -manifold which does not admit any closed embedded minimal surface whose two-sided covering is stable, must be diffeomo…
Bounds for the Morse index of free boundary minimal surfaces
Vanderson Lima
Inspired by work of Ejiri-Micallef on closed minimal surfaces, we compare the energy index and the area index of a free-boundary minimal surface of a Riemannian manifold with bound…
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…
Parabolic Minimal Surfaces in
Vanderson Lima
Let be a complete non compact orientable surface of non negative curvature. We prove in this paper some theorems involving parabolicity of minimal surfaces in $\ma…
The Slab Theorem for Minimal Surfaces in
Vanderson Lima
Unlike , the homogeneous spaces have a great variety of entire vertical minimal graphs. In this paper we explore conditions which guarantees that…