Bernstein type theorem for entire weighted minimal graphs in \(\mathbb G^n{\times}\mathbb R\)
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Publication:2448261
DOI10.1016/J.GEOMPHYS.2014.03.011zbMath1287.53052arXiv1312.7387OpenAlexW1599120391MaRDI QIDQ2448261
Publication date: 30 April 2014
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.7387
Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items (13)
On Bernstein-type properties of complete hypersurfaces in weighted warped products ⋮ Uniqueness results and enclosure properties for hypersurfaces with boundary in weighted cylinders ⋮ Entire translating graphs in weighted product spaces: rigidity and nonexistence results ⋮ Two-sided hypersurfaces, entire Killing graphs and the mean curvature equation in warped products with density ⋮ Spacelike hypersurfaces immersed in weighted standard static spacetimes: uniqueness, nonexistence and stability ⋮ Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density ⋮ Rigidity of entire graphs in weighted product spaces with nonnegative Bakry-Émery-Ricci tensor ⋮ Submanifolds immersed in a warped product with density ⋮ On the stability and parabolicity of complete \(f\)-minimal hypersurfaces in weighted warped products ⋮ Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights ⋮ 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
Cites Work
- Generic mean curvature flow. I: Generic singularities
- Some calibrated surfaces in manifolds with density
- Complete constant mean curvature surfaces and Bernstein type theorems in \(\mathbb M^2 \times \mathbb R\)
- Mean curvature evolution of entire graphs
- A Bernstein type theorem for self-similar shrinkers
- Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem
- Minimal varieties in Riemannian manifolds
- Minimal cones and the Bernstein problem
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