A geometric perspective on the Piola identity in Riemannian settings

DOI10.3934/jgm.2019004zbMath1426.53087arXiv1805.12365OpenAlexW2963643867MaRDI QIDQ2329703

Asaf Shachar, Raz Kupferman

Publication date: 18 October 2019

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.12365

zbMATH Keywords

elasticityRiemannian geometrydifferential geometrynull-LagrangiansPiola identity

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Elastic materials (74B99)

Related Items (3)

On asymptotic rigidity and continuity problems in nonlinear elasticity on manifolds and hypersurfaces ⋮ Divergence-Free Tensors and Cofactors in Geometry and Fluid Dynamics ⋮ Embedding surfaces inside small domains with minimal distortion

Cites Work

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• Reshetnyak rigidity for Riemannian manifolds
• Geometrical foundations of continuum mechanics. An application to first- and second-order elasticity and elasto-plasticity

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