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# Dan Lee : The spacetime positive mass theorem in dimensions less than 8

After reviewing the proof of the Riemannian positive mass theorem in dimensions less than 8, I will briefly explain how to generalize the proof to slices of spacetime that are not time-symmetric. The basic idea is to replace minimal hypersurfaces by marginally outer-trapped hypersurfaces, and the main difficulty is to avoid using any minimization process. This is joint work with Eichmair, Huang, and Schoen.

**Category**: Geometry and Topology**Duration**: 01:34:43**Date**: April 10, 2012 at 4:25 PM**Views**: 110-
**Tags:**seminar, Geometry/topology Seminar

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