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Positive mass theorem for asymptocially hyperbolic manifolds

By Lan-Hsuan Huang

Appears in collection : Not Only Scalar Curvature Seminar

The asymptotically (locally) hyperbolic manifold appears in a fundamental role in the AdS/CFT correspondence. It motivates further study on the properties of global invariants defined at conformal infinity, such as the energy momentum vector. We will give a partial survey on positivity of the energy-momentum vector and the equality case.

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