New Calabi-Cernstein type results in weighted generalized Robertson-Walker spacetimes

DOI10.1007/s10474-014-0461-xzbMath1374.53086OpenAlexW2043927890WikidataQ125985048 ScholiaQ125985048MaRDI QIDQ519908

Marcos Petrúcio De A. Cavalcante, Henrique Fernandes de Lima, Márcio S. Santos

Publication date: 31 March 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-014-0461-x

zbMATH Keywords

drifting Laplacianweighted mean curvaturegeneralized Robertson-Walker spacetimecomplete space-like hypersurfaceBakry-Émery Ricci tensorweighted manifold

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Estimates of eigenvalues in context of PDEs (35P15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (10)

Spacelike hypersurfaces in weighted generalized Robertson-Walker space-times ⋮ Spacelike hypersurfaces immersed in weighted standard static spacetimes: uniqueness, nonexistence and stability ⋮ New Calabi-Bernstein type results in Lorentzian product spaces with density ⋮ On the Stability of $f$-Maximal Spacelike Hypersurfaces in Weighted Generalized Robertson–Walker Spacetimes ⋮ Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces ⋮ On entire \(f\)-maximal graphs in the Lorentzian product \(\mathbb{G}^n \times \mathbb{R}_1\) ⋮ \(f\)-stability of spacelike hypersurfaces in weighted spacetimes ⋮ \(\phi \)-parabolicity and the uniqueness of spacelike hypersurfaces immersed in a spatially weighted GRW spacetime ⋮ Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes ⋮ On the scarcity of non-totally geodesic complete spacelike hypersurfaces of constant mean curvature in a Lie group with bi-invariant Lorentzian metric

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