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Geometric Analysis Seminar

Construction of hypersurfaces with prescribed mean curvature

Jonathan Zhu (Princeton University)

Location:  Hill 705
Date & time: Tuesday, 12 March 2019 at 3:00PM - 4:20PM

Abstract: We will describe a joint project with X. Zhou in which min-max techniques are used to prove existence of closed hypersurfaces with prescribed mean curvature in closed Riemannian manifolds. Our min-max theory handles the case of nonzero constant mean curvature, and more recently a generic class of smooth prescription functions, without assuming a sign condition.

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