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.
Bibliographical noteFunding Information:
A. Alaee acknowledges the support of the AMS-Simons travel grant.
© 2022, Mathematica Josephina, Inc.
- Horowitz–Myers geon
- Minkowski inequality