Rigidity of Serrin-type problems via integral identities
Published: Apr 16, 2025
Last Updated: Apr 16, 2025
Authors:Jaqueline de Lima, Márcio Santos, Joyce Sindeaux
Abstract
In this short note, we deal with Serrin-type problems in Riemannian manifolds. Firstly, we provide a Soap Bubble type theorem and rigidity results. In another direction, we obtain a rigidity result addressed to annular regions in Einstein manifolds endowed with a conformal vector field.