Equidimensional isometric extensions

DOI10.4171/ZAA/1688zbMath1478.53112arXiv1501.02998OpenAlexW1516029558MaRDI QIDQ2041348

Micha Wasem

Publication date: 19 July 2021

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02998

zbMATH Keywords

isometric immersionsconvex integration

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local Riemannian geometry (53B20) Systems of nonlinear first-order PDEs (35F50) Boundary value problems for systems of nonlinear first-order PDEs (35F60)

Cites Work

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• On Piecewise Linear Approximations to Smooth Mappings
• Existence and regularity of isometries
• Two-Scale Convergence
• Local inversion for differentiable functions and the Darboux property
• C^1,α isometric extensions

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