1 citations · 1 across the 2 of their papers we have counts for
7 papers
Constant mean curvature disks with circular boundary
Davi Maximo, Ivaldo Nunes
We prove that a compact immersed disk of constant mean curvature in whose boundary is mapped diffeomorphically onto a round circle is a planar disk or a spherical cap.
On static manifolds satisfying an overdetermined Robin type condition on the boundary
Tiarlos Cruz, Ivaldo Nunes
In this work, we consider static manifolds with nonempty boundary . In this case, we suppose that the potential also satisfies an overdetermined Robin type cond…
A gap theorem for free boundary minimal surfaces in the three-ball
Lucas Ambrozio, Ivaldo Nunes
We show that, among free boundary minimal surfaces in the unit ball in the three-dimensional Euclidean space, the flat equatorial disk and the critical catenoid are characterised b…
On stable constant mean curvature surfaces with free boundary
Ivaldo Nunes
In [20], Ros and Vergasta proved that an immersed orientable compact stable constant mean curvature surface with free boundary in a closed ball must be a…
Free boundary minimal annuli in convex three-manifolds
Davi Maximo, Ivaldo Nunes, Graham Smith
We prove the existence of free boundary minimal annuli inside suitably convex subsets of three-dimensional Riemannian manifolds with nonnegative Ricci curvature including stric…
Hawking mass and local rigidity of minimal two-spheres in three-manifolds
Davi Máximo, Ivaldo Nunes
We study rigidity of minimal two-spheres that locally maximize the Hawking mass on a Riemannian three-manifold with a positive lower bound on its scalar curvature. After assumi…
Rigidity of area-minimizing hyperbolic surfaces in three-manifolds
Ivaldo Nunes
We prove that if is a three-manifold with scalar curvature greater than or equal to -2 and is a two-sided compact embedded Riemann surface of genus greater than 1…