$C^1$-regularity for local graph representations of immersions

DOI10.1090/S0002-9947-2013-05872-2zbMath1279.53014arXiv1201.5074MaRDI QIDQ2855924

Patrick Breuning

Publication date: 23 October 2013

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

Full work available at URL: https://arxiv.org/abs/1201.5074

zbMATH Keywords

\(C^0\)-norm\(C^1\)-normgraph functionsuniform graph representations

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Cites Work

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• A compactness theorem for surfaces with \(L_ p\)-bounded second fundamental form
• Immersions with bounded curvature
• On hypersurfaces in \(\mathbb{R}^{n+1}\) with integral bounds on curvature.

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