Rigidity of stable minimal hypersurfaces in asymptotically flat spaces

DOI10.1007/s00526-016-0989-4zbMath1343.53010arXiv1403.6459OpenAlexW2963776242WikidataQ124829552 ScholiaQ124829552MaRDI QIDQ2628977

Alessandro Carlotto

Publication date: 19 July 2016

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6459

zbMATH Keywords

Plateau problemasymptotically Schwarzschildean 3-manifoldpositive ADM mass

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (12)

Large isoperimetric regions in asymptotically hyperbolic manifolds ⋮ Localizing solutions of the Einstein constraint equations ⋮ Rigidity of stable marginally outer trapped surfaces in initial data sets ⋮ On free boundary minimal hypersurfaces in the Riemannian Schwarzschild space ⋮ Density and positive mass theorems for initial data sets with boundary ⋮ The nonlinear stability of rotationally symmetric spaces with low regularity ⋮ Asymptotically flat three-manifolds contain minimal planes ⋮ Effective versions of the positive mass theorem ⋮ Stable surfaces and free boundary marginally outer trapped surfaces ⋮ On free-boundary minimal surfaces in the Riemannian Schwarzschild manifold ⋮ Positive energy theorems in fourth-order gravity ⋮ A positive energy theorem for fourth-order gravity

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