2 papers
math.DG2022
Existence and obstructions for the curvature on compact manifolds with boundary
Tiarlos Cruz, Almir Silva Santos, Feliciano Vitório
We study the set of curvature functions which a given compact manifold with boundary can possess. First, we prove that the sign demanded by the Gauss-Bonnet Theorem is a necessary…
math.DG2015
Einstein Manifolds and Nonpositive Isotropic Curvature
Aldir Brasil, Ezio Costa, Feliciano Vitorio
This note is devoted to study the implications of nonpositive isotropic curvature and negative Ricci curvature for Einstein Manifolds.