4 papers
Reference Bayesian analysis for hierarchical models
Thaís C. O. Fonseca, Helio S. Migon, Heudson Mirandola
This paper proposes an alternative approach for constructing invariant Jeffreys prior distributions tailored for hierarchical or multilevel models. In particular, our proposal is b…
Sobolev and isoperimetric inequalities for submanifolds in weighted ambient spaces
Marcio Batista, Heudson Mirandola
In this paper, we prove a Sobolev and isoperimetric inequalities for submanifold in weighted manifold. Our results generalize the Hoffman-Spruck's inequalities.
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…
Isometry actions and geodesics orthogonal to submanifolds
Antonio J. Di Scala, Sérgio Mendonça, Heudson Mirandola +1
We investigate submanifolds in space forms such that every geodesic orthogonal to the submanifold intersects a fixed totally geodesic submanifold. We obtain an application to horos…