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math.DG2024
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…
math.DG2024
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…