Up to isometries, a deformation is a continuous function of its metric tensor.

DOI10.1016/S1631-073X(02)02504-9zbMath1038.53032OpenAlexW1970369747MaRDI QIDQ1854682

Philippe G. Ciarlet, Florian Laurent

Publication date: 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02504-9

zbMATH Keywords

isometric immersions of 3-manifolds in \(E^3\)

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items

The continuity of a surface as a function of its two fundamental forms., A surface is a continuous function of its two fundamental forms

Cites Work

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• Compatibility conditions for a left Cauchy-Green strain field
• Nonlinear problems of elasticity