A Minkowski Inequality for Horowitz–Myers Geon

Aghil Alaee, Pei Ken Hung

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Article number180
JournalJournal of Geometric Analysis
Issue number6
StatePublished - Jun 2022
Externally publishedYes

Bibliographical note

Funding Information:
A. Alaee acknowledges the support of the AMS-Simons travel grant.

Publisher Copyright:
© 2022, Mathematica Josephina, Inc.


  • Horowitz–Myers geon
  • Minkowski inequality


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