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.
Original language | English (US) |
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Article number | 180 |
Journal | Journal of Geometric Analysis |
Volume | 32 |
Issue number | 6 |
DOIs | |
State | Published - Jun 2022 |
Externally published | Yes |
Bibliographical note
Funding Information:A. Alaee acknowledges the support of the AMS-Simons travel grant.
Publisher Copyright:
© 2022, Mathematica Josephina, Inc.
Keywords
- Horowitz–Myers geon
- Minkowski inequality