Calculus of Variations and Geometric Measure Theory
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A Rigidity Result for Area-Minimising Cylinders

Vlad Moraru

created by malchiodi on 25 Jul 2016

28 jul 2016 -- 11:00   [open in google calendar]

Scuola Normale Superiore, Aula Mancini

Abstract.

The study of stable minimal surfaces in Riemannian 3-manifolds with non-negative scalar curvature has a rich history. Recently, in a joint work with O. Chodosh and M. Eichmair, we proved that a connected, orientable, complete, boundaryless 3-manifold with non-negative scalar curvature, containing an area-minimizing cylinder, is flat. This confirms an old conjecture of Fischer-Colbrie-Schoen and Cai-Galloway.

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