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Rigidity of Serrin-type problems via integral identities (2504.11996v1)
Published 16 Apr 2025 in math.DG and math.AP
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.
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