Stable minimal surfaces and spatial topology in general relativity

DOI10.1007/BF01161986zbMath0482.53006MaRDI QIDQ1162709

Gregory J. Galloway, Theodore Frankel

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173242

zbMATH Keywords

general relativityspace-timenegative mean curvaturestability of closed minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (1)

Area maximizing surfaces in Lorentzian spaces

Cites Work

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• Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
• A generalization of Myers theorem and an application to relativistic cosmology
• On the topology of spacelike hypersurfaces, singularities, and black holes
• A restriction on the topology of Cauchy surfaces in general relativity
• Energy density and spatial curvature in general relativity
• Singularities in nonsimply connected space–times

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