Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 35, Issue 11, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6382/aabed1
Keywords
mass aspect; asymptotically hyperbolic manifolds; hyperbolic mass; metric deformation
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Funding
- Austrian Science Fund (FWF) [P 28495-N27, P29517-N27]
- Polish National Center of Science (NCN) [2016/21/B/ST1/00940]
- NSF [DMS-1313724, DMS-1710808]
- Erwin Schrodinger Institute, Vienna
- Austrian Science Fund (FWF) [P28495] Funding Source: Austrian Science Fund (FWF)
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We prove positivity of energy for a class of asymptotically locally hyperbolic manifolds in dimensions 4 <= n <= 7. The result is established by first proving deformation-of-mass-aspect theorems in dimensions n >= 4. Our positivity results extend to the case n = 3 when more stringent conditions are imposed.
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