Curvature estimates of a spacelike graph in a Lorentzian product space

DOI10.7153/MIA-2024-27-34MaRDI QIDQ6619481

Daehwan Kim

Publication date: 15 October 2024

Published in: Mathematical Inequalities \& Applications (Search for Journal in Brave)

zbMATH Keywords

curvature estimatesLorentzian product spacesspace-like graphsHeinz estimates

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• Lyapunov-type inequalities for one-dimensional Minkowski-curvature problems
• Best constants in the Sobolev imbedding theorem
• Curvature estimates for graphs over Riemannian domains
• Heinz-type mean curvature estimates in Lorentz-Minkowski space
• Spacelike graphs with parallel mean curvature
• On the curvatures of a piece of hypersurface in Euclidean space
• Über Flächen mit eindeutiger Projektion auf eine Ebene, deren Krümmungen durch Ungleichungen eingeschränkt sind
• Heinz type estimates for graphs in Euclidean space
• On Bernstein–Heinz–Chern–Flanders inequalities
• Remark on Mean Curvature
• Geometric Analysis

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