activity
20132021
most citedConstant mean curvature Isometric Immersions into and and related results

1 citations · 1 across the 1 of their papers we have counts for

collaborators

5 papers

math.DG2021

Uniqueness of free-boundary minimal hypersurfaces in rotational domains

Ezequiel Barbosa, Allan Freitas, Rodrigo Melo +1

In this work, we investigate the existence of compact free-boundary minimal hypersurfaces immersed in several domains. Using an original integral identity for compact free-boundary…

math.DG2019★ 1 cited

Constant mean curvature Isometric Immersions into and and related results

Benoît Daniel, Iury Domingos, Feliciano Vitório

In this article, we study constant mean curvature isometric immersions into and and we classify these isometric im…

math.DG2018

Prescribing the curvature of Riemannian manifolds with boundary

Tiarlos Cruz, Feliciano Vitório

Let be a compact connected surface with boundary. We prove that the signal condition given by the Gauss-Bonnet theorem is necessary and sufficient for a given smooth function $…

math.DG2018

Vanishing theorems for the cohomology groups of free boundary hypersurfaces

Marcos P. Cavalcante, Abraão Mendes, Feliciano Vitório

In this paper, we prove that there exists a universal constant , depending only on positive integers and , such that if is a compact free boundary sub…

math.DG2013

Minimal immersions of Riemannian manifolds in products of space forms

Fernando Manfio, Feliciano Vitório

In this note, we give natural extensions to cylinders and tori of a classical result due to T. Takahashi about minimal immersions into spheres. More precisely, we deal with Euclide…