A note on Sobolev isometric immersions below \(W^{2,2}\) regularity

DOI10.1016/j.difgeo.2017.02.009zbMath1369.53044OpenAlexW2594015917WikidataQ110854947 ScholiaQ110854947MaRDI QIDQ2363165

Zhuomin Liu, Jan Malý

Publication date: 13 July 2017

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2017.02.009

zbMATH Keywords

isometric immersionsdegenerate Monge-Ampère equationHessian determinant

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Monge-Ampère equations (35J96)

Related Items (1)

Approximation by mappings with singular Hessian minors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Sobolev space of isometric immersions
• A strictly convex Sobolev function with null Hessian minors
• \(C^1\) isometric imbeddings
• h-Principle and Rigidity for C 1,α Isometric Embeddings
• On Spherical Image Maps Whose Jacobians Do Not Change Sign
• Rigidity and regularity of co-dimension one Sobolev isometric immersions
• Some Rigidity Results Related to Monge–Ampèere Functions
• Weakly Differentiable Functions
• Weak contact equations for mappings into Heisenberg groups

This page was built for publication: A note on Sobolev isometric immersions below \(W^{2,2}\) regularity