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math.DG2017★ 1 cited
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…
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…