ON THE EXISTENCE OF -MAXIMAL SPACELIKE HYPERSURFACES IN CERTAIN WEIGHTED MANIFOLDS

DOI10.1017/S0004972717000296zbMath1375.53078MaRDI QIDQ5369409

Arlandson Matheus Silva Oliveira, Henrique Fernandes de Lima

Publication date: 17 October 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Bakry-Émery-Ricci tensor\(f\)-Laplacian\(f\)-maximal space-like hypersurfaceentire space-like graphweighted Lorentzian product space

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)

Cites Work

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• Scalar–tensor gravitation and the Bakry–Émery–Ricci tensor
• Bakry–Émery black holes
• Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
• The Large Scale Structure of Space-Time

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