46 citations · 100 across the 13 of their papers we have counts for
18 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.
Ricci curvature and minimal hypersurfaces with large Betti numbers
Davi Maximo, Philipp Reiser, Daniele Semola
In any dimension we construct a sequence of closed -dimensional Riemannian manifolds with positive Ricci curvature admitting embedded two-sided minimal hypersurfa…
Length of a closed geodesic in 3-manifolds of positive scalar curvature
Yevgeny Liokumovich, Davi Maximo, Regina Rotman
Let be a closed -dimensional Riemannian manifold with positive scalar curvature, . We show that contains a non-trivial closed geodesic of length less than $2…
Complete Riemannian 4-manifolds with uniformly positive scalar curvature
Otis Chodosh, Davi Maximo, Anubhav Mukherjee
We obtain topological obstructions to the existence of a complete Riemannian metric with uniformly positive scalar curvature on certain (non-compact) -manifolds. In particular,…
Stability of Convex Spheres
Davi Máximo, Hunter Stufflebeam
We prove that strictly convex 2-spheres, all of whose simple closed geodesics are close in length to 2π, are C^0 Cheeger-Gromov close to the round sphere.
On the topology and index of minimal/Bryant framed surfaces
Davi Maximo, Franco Vargas Pallete
We study framed surfaces, which are a class of Euclidean minimal and hyperbolic CMC-1 surfaces that generalize immersed minimal surfaces in and Bryant surfaces. For…