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Torsional Rigidity and Spherical Deficit for a Dirichlet Problem on Riemannian Manifolds
Maria Andrade, Allan Freitas
In this work, we study several inequalities related to a Dirichlet problem on Riemannian manifolds whose Ricci curvature is bounded from below. First, we establish inequalities inv…
On gradient -Einstein solitons with Bach tensor radially nonnegative
Maria Andrade, Valter Borges, Hiuri Reis
In this paper, we study -dimensional gradient -Einstein solitons whose Bach tensor is radially nonnegative. Under this assumption, we show that such -Einstein solitons are…
Some characterizations of compact Einstein-type manifolds
Maria Andrade, Ana Paula de Melo
In this work, we investigate the geometry and topology of compact Einstein-type manifolds with nonempty boundary. First, we prove a sharp boundary estimate, as consequence we obtai…
Gap results for free boundary CMC surfaces in conformally Euclidean three-balls
Maria Andrade, Ezequiel Barbosa, Edno Pereira
In this work, we consider as the Euclidean three-ball with radius equipped with the metric conformal t…
On the interplay between CPE metrics, vacuum static spaces and -singular spaces
Maria Andrade
We call CPE metrics the critical points of the total scalar curvature functional restricted to the space of metrics with constant scalar curvature of unitary volume. In this short…
Deformation of the -curvature
Almir Silva Santos, Maria Andrade
Our main goal in this work is to deal with results concern to the -curvature. First we find a symmetric 2-tensor canonically associated to the -curvature and we present a…