Essential nonlinearity implied by symmetry group. Problems of affine invariance in mechanics and physics

DOI10.3934/dcdsb.2012.17.699zbMath1254.37040OpenAlexW2328592771MaRDI QIDQ765034

Vasyl Kovalchuk, Agnieszka Martens, Barbara Gołubowska, Ewa Eliza Rożko, Jan Jerzy Sławianowski

Publication date: 19 March 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.699

zbMATH Keywords

general relativityessential nonlinearitymicromorphic continuadynamical symmetriesaffine bodiestetrad models

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Geometrodynamics and the holographic principle (83E05) Micromechanical theories (74A60) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Affine differential geometry (53A15) Canonical transformations in symplectic and contact geometry (53D22)

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Some aspects of affine motion and nonholonomic constraints. Two ways to describe homogeneously deformable bodies ⋮ Constraints and symmetry in mechanics of affine motion

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