\(C^{1, \alpha }\) isometric embeddings of polar caps

DOI10.1016/J.AIM.2020.106996zbMath1436.53006arXiv1809.04161OpenAlexW3003127125WikidataQ126317720 ScholiaQ126317720MaRDI QIDQ2295469

Dominik Inauen, Camillo De Lellis

Publication date: 13 February 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.04161

zbMATH Keywords

isometric embeddingconvex integrationNash-Kuiper

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Spaces of embeddings and immersions (58D10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (4)

Geometry, analysis, and morphogenesis: Problems and prospects ⋮ Rigidity and flexibility of isometric extensions ⋮ Distributed branch points and the shape of elastic surfaces with constant negative curvature ⋮ Global Nash-Kuiper theorem for compact manifolds

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