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A positive mass theorem for asymptotically flat manifolds with a noncompact boundary and an application to a Yamabe-type flow

Differential Geometry & Geometric Analysis Seminar

A positive mass theorem for asymptotically flat manifolds with a noncompact boundary and an application to a Yamabe-type flow

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Sergio Almaraz, Universidade Federal Fluminense

PLEASE NOTE SPECIAL DAY AND LOCATION:  Talk #2.  First I will discuss a positive mass theorem for noncompact manifolds with boundary and ends asymptotic to the Euclidean half-space. This theorem is a joint work with Ezequiel Barbosa and Levi de Lima. Then I will show how this result can be applied to prove the convergence of a certain Yamabe-type flow on compact manifolds with boundary.