2 citations · 2 across the 6 of their papers we have counts for
8 papers
A Note on Free Boundary Hypersurfaces in Space Forms Balls
Iury Domingos, Roney Santos, Feliciano Vitório
In this article, we establish a relationship between geometric quantities of a hypersurface restricted to its boundary, and the geometric quantities of its boundary as a hypersurfa…
Hardy and Rellich Inequalities for submanifolds in Hadamard spaces
Marcio Batista, Heudson Mirandola, Feliciano Vitorio
Some of the most known integral inequalities are the Sobolev, Hardy and Rellich inequalities in Euclidean spaces. In the context of submanifolds, the Sobolev inequality was proved…
A Bonnet theorem for submanifolds into rotational hypersurfaces
Carlos do Rei Filho, Feliciano Vitório
In this work, we prove a version of the fundamental theorem of submanifolds to target manifolds with warped structure.
Rigidity Theorems of conformal class on compact manifolds with boundary
Ezequiel Barbosa, Heudson Mirandola, Feliciano Vitorio
Let M be a compact manifold with boundary. In this paper, we discuss some rigidity theorems of metrics in a same conformal class that fixes the boundary and satisfy certain integra…
The positive mass Theorem and Penrose inequality for graphical manifolds
Heudson Mirandola, Feliciano Vitorio
We give, via elementary methods, explicit formulas for the ADM mass which allow us to conclude the positive mass theorem and Penrose inequality for a class of graphical manifolds w…
Global isometric embeddings of multiple warped product metrics into quadrics
Heudson Mirandola, Feliciano Vitorio
In this paper, we construct smooth isometric embeddings of multiple warped product manifolds in quadrics of semi-Euclidean spaces. Our main theorem generalizes previous results as…