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On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds (1801.03442v3)

Published 10 Jan 2018 in gr-qc and math.DG

Abstract: We prove positivity of energy for a class of asymptotically locally hyperbolic manifolds in dimensions $4\le n \le 7$. The result is established by first proving deformation-of-mass-aspect theorems in dimensions $n\ge 4$. Our positivity results extend to the case $n = 3$ when more stringent conditions are imposed.

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