Calculus of Variations and Geometric Measure Theory

Geometric applications of (non)Linear Potential Theory

Mattia Fogagnolo (Università degli Studi di Padova)

created by gelli on 30 Sep 2020

7 oct 2020 -- 17:00   [open in google calendar]

Aula Magna Dipartimento di Matematica di Pisa/online

Abstract.

I will discuss how geometric inequalities and splitting results on complete Riemannian manifolds with nonnegative Ricci curvature can be provided by employing suitable monotone quantities along the flow of capacitary and p-capacitary potentials, as well as through related boundary value problems. The main results described will be (i) a Willmore-type inequality on manifolds with nonnegative Ricci curvature; (ii) enhanced Kasue-Croke-Kleiner splitting theorems; (iii) a generalised Minkowski-type inequality in asymptotically conical Riemannian manifolds.

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