A Minkowski Inequality for Horowitz–Myers Geon
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12220_2022_907_ReferencePDF.pdf
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Author(s) •
Alaee, Aghil
Hung, Pei-Ken
Date Issued
April 2022
Journal
Journal of Geometric Analysis
Publisher
Springer US
Citation
The Journal of Geometric Analysis. 2022 Apr 10;32(6):180
Version
Author's final manuscript
Abstract
Abstract
We prove a sharp inequality for toroidal hypersurfaces in three- and four-dimensional Horowitz–Myers geon. This extend previous results on Minkowski inequality in the static spacetime to toroidal surfaces in asymptotically hyperbolic manifold with flat toroidal conformal infinity.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s12220-022-00907-1