A Minkowski Inequality for Horowitz–Myers Geon

Aghil Alaee; Pei Ken Hung

doi:10.1007/s12220-022-00907-1

A Minkowski Inequality for Horowitz–Myers Geon

Aghil Alaee
, Pei Ken Hung

Research output: Contribution to journal › Article › peer-review

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)
Article number	180
Journal	Journal of Geometric Analysis
Volume	32
Issue number	6
Early online date	Apr 10 2022
DOIs	https://doi.org/10.1007/s12220-022-00907-1
State	Published - Jun 2022
Externally published	Yes

Keywords

Horowitz–Myers geon
Minkowski inequality

ASJC Scopus subject areas

Geometry and Topology

Online availability

10.1007/s12220-022-00907-1

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title = "A Minkowski Inequality for Horowitz–Myers Geon",

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.",

keywords = "Horowitz–Myers geon, Minkowski inequality",

author = "Aghil Alaee and Hung, \{Pei Ken\}",

note = "A. Alaee acknowledges the support of the AMS-Simons travel grant.",

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month = jun,

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language = "English (US)",

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AU - Alaee, Aghil

AU - Hung, Pei Ken

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Y1 - 2022/6

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AB - 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.

KW - Horowitz–Myers geon

KW - Minkowski inequality

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UR - https://www.scopus.com/pages/publications/85128084958#tab=citedBy

U2 - 10.1007/s12220-022-00907-1

DO - 10.1007/s12220-022-00907-1

M3 - Article

AN - SCOPUS:85128084958

SN - 1050-6926

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JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

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M1 - 180

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A Minkowski Inequality for Horowitz–Myers Geon

Abstract

Keywords

ASJC Scopus subject areas

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