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A Rigidity Result for Area-Minimising Cylinders


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.
http://cvgmt.sns.it/seminar/537/
When
Thu Jul 28, 2016 9am – 10am Coordinated Universal Time
Where
Scuola Normale Superiore, Aula Mancini (map)