2 papers
math.DG2024
On the stability of free boundary minimal submanifolds in conformal domains
Alcides de Carvalho, Roney Santos, Federico Trinca
Given a -dimensional Riemannian manifold with non-negative sectional curvatures and convex boundary, that is conformal to an Euclidean convex bounded domain, we show that it doe…
math.DG2021
Minimal Kähler submanifolds in product of space forms
Alcides de Carvalho, Iury Domingos
In this article, we study minimal isometric immersions of Kähler manifolds into product of two real space forms. We analyse the obstruction conditions to the existence of pluriharm…