Ruled surfaces as translating solitons of the inverse mean curvature flow in the three-dimensional Lorentz-Minkowski space

DOI10.1016/j.jmaa.2023.127550zbMath1521.53069arXiv2308.11457OpenAlexW4382518225MaRDI QIDQ6136376

Gregório Silva Neto, Vanessa L. Silva

Publication date: 29 August 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.11457

zbMATH Keywords

ruled surfaceinverse mean curvature flowtranslating solitonLorentz-Minkowski space

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Surfaces in Euclidean and related spaces (53A05) Flows related to mean curvature (53E10)

Related Items (2)

Classification of ruled surfaces as homothetic self-similar solutions of the inverse mean curvature flow in the Lorentz-Minkowski 3-space ⋮ Ruled singular minimal surfaces

Cites Work

• On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures
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• The quermassintegral inequalities for \(k\)-convex starshaped domains
• Ruled minimal surfaces in \(\mathbb R^3\) with density \(e^z\)
• H-surfaces in Lorentzian manifolds
• Remarks on cosmological spacetimes and constant mean curvature surfaces
• The inverse mean curvature flow and the Riemannian Penrose inequality
• Ruled translating solitons in Minkowski 3-space
• Translating solitons for the inverse mean curvature flow
• The positive mass theorem and Penrose inequality for graphical manifolds
• Translators of flows by powers of the Gauss curvature
• Introduction to Lorentz Geometry
• A Minkowski Inequality for Hypersurfaces in the Anti‐de Sitter‐Schwarzschild Manifold
• Curvature flows in semi-Riemannian manifolds
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• The ADM mass of asymptotically flat hypersurfaces

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