On the Gaussian curvature of maximal surfaces in n -dimensional generalized Robertson - Walker spacetimes

DOI10.1088/0264-9381/13/12/011zbMath0974.53046OpenAlexW1989125208MaRDI QIDQ5284343

Alfonso Romero, Luis J. Alías, Francisco J. M. Estudillo

Publication date: 18 December 2001

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/13/12/011

zbMATH Keywords

Gaussian curvaturegeneralized Robertson-Walker spacetimecompact maximal surface

Mathematics Subject Classification ID

General relativity (83C99) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (10)

Characterizations of Lorentzian manifolds ⋮ Rigidity of parabolic and stable spacelike hypersurfaces in a generalized Robertson-Walker spacetime ⋮ Complete stationary spacelike surfaces in an \(n\)-dimensional generalized Robertson-Walker spacetime ⋮ New examples of Calabi-Bernstein problems for some nonlinear equations. ⋮ A new approach to the study of spacelike submanifolds in a spherical Friedmann–Lemaître–Robertson–Walker spacetime: characterization of the stationary spacelike submanifolds as an application ⋮ Spatial and Lorentzian surfaces in Robertson-Walker space times ⋮ Generalized Robertson–Walker spacetimes — A survey ⋮ Extremal and weakly trapped submanifolds in generalized Robertson-Walker spacetimes ⋮ On the geometry of generalized Robertson-Walker spacetimes: geodesics. ⋮ On the geometry of generalized Robertson-Walker spacetimes: Curvature and Killing fields

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