4 papers · 1 filter
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…
Serrin's type Problems in convex cones in Riemannian manifolds
Murilo Araújo, Allan Freitas, Márcio Santos +1
In this work, we discuss several results concerning Serrin's problem in convex cones in Riemannian manifolds. First, we present a rigidity result for an overdetermined problem in a…
Rigidity results for Serrin's overdetermined problems in Riemannian manifolds
Maria Andrade, Allan Freitas, Diego A. Marín
In this work, we are interested in studying Serrin's overdetermined problems in Riemannian manifolds. For manifolds endowed with a conformal vector field, we prove a Pohozoaev-type…
Perelman singular manifolds
Márcio Batista, Allan Freitas, Márcio Santos
On a Riemannian manifold with a smooth function , we consider the linearization of the Perelman scalar curvature and its -formal adjoint oper…