Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Overdetermined problems in Riemannian manifolds

Alberto Roncoroni (Politecnico di Milano)

created by raffero on 04 May 2022
modified by roncoroni on 21 Oct 2022

12 may 2022 -- 11:00

Sala Orsi, Dipartimento di Matematica "G. Peano", Torino


The talk deals with overdetermined elliptic boundary value problems for bounded domains in Riemannian manifolds. Starting from the well-known Serrin’s rigidity result we will consider its counterpart in space forms (the hyperbolic space and the hemisphere). Then we will consider Serrin’s type problems in more general Riemannian manifolds. In particular we will show rigidity results for overdetermined problems in the so-called warped product manifolds.

This is based on a joint work with Alberto Farina.

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