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Geometric Analysis and Partial Differential Equations Seminar
August 7, 2014 @ 10:30 am - 11:30 pm
Dr. Yann Bernard (ETH Zurich)
Complete Minimal Surfaces in Asymptotically Flat Manifolds via the Willmore Energy
We show how techniques and results which were recently developed in the context of Willmore surfaces may be applied to describe the asymptotic behavior of complete minimal surfaces in manifolds that are asymptotically Schwartszchild. The method is new and, unlike its predecessors, is particularly suited in higher codimension. This is part of an ongoing project with Tristan Rivière from the ETH-Zurich.