Rotation fields and the fundamental theorem of Riemannian geometry in \(\mathbb R^3\)

DOI10.1016/j.crma.2006.08.007zbMath1107.53011OpenAlexW2088541131WikidataQ115358296 ScholiaQ115358296MaRDI QIDQ857072

Liliana Gratie, Oana Iosifescu, Philippe G. Ciarlet, Claude Vallee, Christinel Mardare

Publication date: 14 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.crma.2006.08.007

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Methods of local Riemannian geometry (53B21)

Related Items (3)

Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers ⋮ On the determination of deformation from strain ⋮ Another approach to the fundamental theorem of Riemannian geometry in \(\mathbb R^{3}\), by way of rotation fields

Cites Work

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• The fundamental theorem of surface theory for surfaces with little regularity
• Another approach to the fundamental theorem of Riemannian geometry in \(\mathbb R^{3}\), by way of rotation fields
• A new look at the compatibility problem of elasticity theory
• Finite rotations in the description of continuum deformation
• On the rotated stress tensor and the material version of the Doyle- Ericksen formula
• Compatibility equations for large deformations
• Existence of a solution for an unsteady elasticity problem in large displacement and small perturbation
• A new variational principle for finite elastic displacements
• Interprétation géométrique de la décomposition des équations de compatibilité en grandes déformations
• The Rotation Associated with Large Strains

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