1 citations · 1 across the 5 of their papers we have counts for
8 papers
Operator on warped product manifolds
Ezequiel Barbosa, Mateus Souza, Celso Viana
In this work we studied the stability of the family of operators , , in a warped product of an infinite interval or real line by one compact manifold, wher…
Isoperimetric interpretation for the renormalized volume of convex co-compact hyperbolic 3-manifolds
Franco Vargas Pallete, Celso Viana
We reinterpret the renormalized volume as the asymptotic difference of the isoperimetric profiles for convex co-compact hyperbolic 3-manifolds. By similar techniques we also prove…
Isoperimetry and volume preserving stability in real projective spaces
Celso Viana
We classify the volume preserving stable hypersurfaces in the real projective space . As a consequence, the solutions of the isoperimetric problem are tubular neighb…
A remark on a curvature gap for minimal surfaces in the ball
Ezequiel Barbosa, Celso Viana
We extend to higher codimension earlier characterization of the equatorial disk and the critical catenoid by a pinching condition on the length of their second fundamental form amo…
Area rigidity for the equatorial disk in the ball
Ezequiel Barbosa, Celso Viana
It is proved by Brendle in [4] that the equatorial disk has least area among -dimensional free boundary minimal surfaces in the Euclidean ball . By comparing the exce…
Index one minimal surfaces in spherical space forms
Celso Viana
We prove that orientable index one minimal surfaces in spherical space forms with large fundamental group have genus at most two. This confirms a conjecture of R. Schoen for an inf…
A note on the evolution of the Whitney sphere along mean curvature flow
Celso Viana
We study the evolution of the Whitney sphere along the Lagrangian mean curvature flow. We show that equivariant Lagrangian spheres in satisfying mild geometric assum…
The isoperimetric problem for Lens spaces
Celso Viana
We solve the isoperimetric problem in the Lens spaces with large fundamental group. Namely, we prove that the isoperimetric surfaces are geodesic spheres or tori of revolution abou…