A Bernstein type theorem for minimal volume preserving maps

DOI10.1090/S0002-9939-01-06448-6zbMath0993.58007OpenAlexW1577204586MaRDI QIDQ2781272

Lei Ni

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06448-6

zbMATH Keywords

volume preservingminimal mapsJFM 48.1401.01lagrangian submanifolds

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Lagrangian submanifolds; Maslov index (53D12)

Related Items (5)

Minimal graphs in $\mathbb {R}^{4}$ with bounded Jacobians ⋮ Unnamed Item ⋮ Graphical mean curvature flow ⋮ Minimal surface systems, maximal surface systems and special Lagrangian equations ⋮ On graphic Bernstein type results in higher codimension

Cites Work

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• Elementary proof of Bernstein's theorem on minimal surfaces
• Modified defect relations for the Gauss map of minimal surfaces
• Erratum to the paper: The Gauss map of a complete non-flat minimal surface cannot omit 7 points of the sphere
• Minimal Lagrangian diffeomorphisms and the Monge-Ampère equation
• The Bernstein problem for affine maximal hypersurfaces
• 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
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature

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