Stable minimal surfaces in Riemannian warped products

DOI10.1007/s12220-015-9673-8zbMath1362.53067OpenAlexW2226583114WikidataQ115376828 ScholiaQ115376828MaRDI QIDQ522465

Juan A. Aledo, Rafael M. Rubio

Publication date: 13 April 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10396/21556

zbMATH Keywords

Riemannian warped productBernstein problemminimal stable surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Elliptic equations on manifolds, general theory (58J05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (6)

Constant angle surfaces in the Lorentzian warped product manifold $I \times_{f} \mathbb E^2_1$ ⋮ Stability of constant mean curvature surfaces in three-dimensional warped product manifolds ⋮ Compact minimal submanifolds in a large class of Riemannian manifolds ⋮ Hopf type theorems for surfaces in the de Sitter-Schwarzschild and Reissner-Nordstrom manifolds ⋮ On the stability and parabolicity of complete \(f\)-minimal hypersurfaces in weighted warped products ⋮ Constant angle surfaces in the Lorentzian warped product manifold \(-I \times_f \mathbb{E}^2\)

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