"A Minkowski Inequality for Horowitz–Myers Geon" by Aghil Alaee and Pei Ken Hung
 

Mathematics

A Minkowski Inequality for Horowitz–Myers Geon

Document Type

Article

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.

Publication Title

Journal of Geometric Analysis

Publication Date

6-2022

Volume

32

Issue

6

ISSN

1050-6926

DOI

10.1007/s12220-022-00907-1

Keywords

Horowitz–Myers geon, Minkowski inequality

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