Rigidity and regularity of co-dimension one Sobolev isometric immersions

DOI10.2422/2036-2145.201302_001zbMath1337.58007arXiv1302.0075OpenAlexW2963647578WikidataQ125679992 ScholiaQ125679992MaRDI QIDQ3460883

Zhuomin Liu, Mohammad Reza Pakzad

Publication date: 8 January 2016

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0075

zbMATH Keywords

isometric immersionSobolev regularity

Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Rigidity results (53C24) Geometric embeddings of metric spaces (30L05) Manifolds of mappings (46T10)

Related Items (7)

A note on Sobolev isometric immersions below \(W^{2,2}\) regularity ⋮ A strictly convex Sobolev function with null Hessian minors ⋮ Stability of isometric immersions of hypersurfaces ⋮ A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions ⋮ Sobolev spaces of isometric immersions of arbitrary dimension and co-dimension ⋮ Convex integration for the Monge-Ampère equation in two dimensions ⋮ Approximation by mappings with singular Hessian minors

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