Jenkins-Serrin-type results for the Jang equation

DOI10.4310/jdg/1453910454zbMath1338.53089arXiv1205.4301OpenAlexW2964066980WikidataQ115167012 ScholiaQ115167012MaRDI QIDQ267536

Jan Metzger, Michael Eichmair

Publication date: 8 April 2016

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.4301

zbMATH Keywords

positive mass theoremJenkins-Serrin theorymarginally trapped outer stable surfacesPlateau problemScherk-type graphs

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (9)

The area minimizing problem in conformal cones. II ⋮ The spacetime positive mass theorem in dimensions less than eight ⋮ The Jang equation reduction of the spacetime positive energy theorem in dimensions less than eight ⋮ The boundary behavior of domains with complete translating, minimal and CMC graphs in \(N^2\times\mathbb{R}\) ⋮ Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation ⋮ The Jenkins-Serrin problem for translating horizontal graphs in \(M\times\mathbb{R}\) ⋮ Initial data rigidity results ⋮ Stable surfaces and free boundary marginally outer trapped surfaces ⋮ Jenkins-Serrin graphs in \(M\times \mathbb{R} \)

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