Stable surfaces and free boundary marginally outer trapped surfaces
type: Item
instance of: scholarly article
title: Stable surfaces and free boundary marginally outer trapped surfaces
zbMATH Open document ID: 1482.53014
author: Aghil Alaee
author: Martin Lesourd
author: Shing-Tung Yau
published in: Calculus of Variations and Partial Differential Equations
publication date: 2021-08-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/2009.07933
review text: In this paper the authors extend a variety of known results for stable surfaces immersed in spacetimes, specially for marginally outer trapped surfaces (MOTS). As examples of results, they find generalizations of the Cohn-Vossen inequality; the topological results of \(H\)-stable surfaces due to Meeks-Pérez-Ros; Gromov's polyhedral comparison theory for capillary and free-boundary MOTS; and area and diameter estimates of free-boundary minimal surfaces due to Fraser, Carlotto and Franz. In many cases, the generalizations are straightforward with unchanged arguments.
reviewed by: Rafael López
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 7384567
zbMATH Keywords: spacetimes
zbMATH Keywords: stability
zbMATH Keywords: marginally outer trapped surfaces
zbMATH Keywords: free-boundary minimal surfaces
MaRDI profile type: Publication
OpenAlex ID: W3196572877
Wikidata QID: Q115386464
arXiv ID: 2009.07933
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DOI: 10.1007/S00526-021-02063-W
description: scientific article