On Foundation of Totally Geometric Continuum Mechanics and its “Non‐Relativistic” Limit

DOI10.1002/ANDP.19905020613zbMath0736.73008OpenAlexW2084840201MaRDI QIDQ4713010

H. Leihkauf

Publication date: 25 June 1992

Published in: Annalen der Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/andp.19905020613

zbMATH Keywords

totally geodesic three-dimensional hypersurfaces``metric approach to Newton-Cartan- theorycondensed state of matterfield of deformationsfour- dimensional non-Riemannian ``sound-space-timefour- dimensional quasi Lorentz-groupGalilei-Cartan-sound-space-timeGauß- and Codazzi-equationsinternal observerquantum field theoretical picture of the solidtransversal velocity of sound

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

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