5 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…
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…
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…