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arXiv · 2504.11996

Rigidity of Serrin-type problems via integral identities

Jaqueline de Lima·Márcio Santos·Joyce Sindeaux
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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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Jaqueline de Lima, Márcio Santos, Joyce Sindeaux. 2025-04-16. Rigidity of Serrin-type problems via integral identities. https://arxiv.org/abs/2504.11996

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