Isometric embedding with nonnegative Gauss curvature under the graph setting

DOI10.3934/DCDS.2019143zbMath1419.53046arXiv1806.06189OpenAlexW2963576304WikidataQ128233676 ScholiaQ128233676MaRDI QIDQ2423632

Xumin Jiang

Publication date: 20 June 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06189

zbMATH Keywords

isometric embeddingGauss curvaturenonnegative curvatureWeyl problemgraph setting

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

On admissible square roots of non-negative \(C^{2, 2\alpha}\) functions ⋮ The Weyl problem of isometric immersions revisited

Cites Work

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• The local isometric embedding in \(R^ 3\) of 2-dimensional Riemannian manifolds with nonnegative curvature
• Regularity theory for quasilinear elliptic systems and Monge-Ampère equations in two dimensions
• Isometric embeddings of surfaces with nonnegative curvature in \(\mathbb{R}^ 3\)
• The Weyl problem with nonnegative Gauss curvature
• Regularity of a class of quasilinear degenerate elliptic equations
• Isometric embedding of the 2-sphere with non negative curvature in \(\mathbb{R}^ 3\)
• Regularity of subelliptic Monge-Ampère equations in the plane
• On Monge-Ampère equations with homogenous right-hand sides
• A priori bounds for co-dimension one isometric embeddings
• The Weyl and Minkowski problems in differential geometry in the large

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