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Calabi–Bernstein Results and Parabolicity of Maximal Surfaces in Lorentzian Product Spaces

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Publication:2861894
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DOI10.1007/978-1-4614-4897-6_2zbMath1282.53051OpenAlexW122332593MaRDI QIDQ2861894

Alma L. Albujer, Luis J. Alías

Publication date: 11 November 2013

Published in: Recent Trends in Lorentzian Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-4897-6_2


zbMATH Keywords

totally geodesicnon-flatCalabi-Bernstein theoremscomplete maximal surface


Mathematics Subject Classification ID

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


Related Items (4)

Uniqueness of complete maximal surfaces in certain Lorentzian product spacetimes ⋮ Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product ⋮ On entire \(f\)-maximal graphs in the Lorentzian product \(\mathbb{G}^n \times \mathbb{R}_1\) ⋮ An extension of Calabi's correspondence between the solutions of two Bernstein problems to more general elliptic nonlinear equations




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