Dynamics of affinely deformable bodies from the standpoint of theoretical mechanics and differential geometry

DOI10.1016/S0034-4877(09)00003-2zbMath1172.74005WikidataQ115339930 ScholiaQ115339930MaRDI QIDQ1006593

Dominique P. Chevallier, Alexander A. Burov

Publication date: 25 March 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

homogeneous spacesfiber bundlesdynamic connection

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Dynamics of a rigid body and of multibody systems (70E99) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (6)

Mechanics of affine bodies. Towards affine dynamical symmetry ⋮ Möbius fluid dynamics on the unitary groups ⋮ Classical dynamics of fullerenes ⋮ Motion of a satellite with a variable mass distribution in a central field of Newtonian attraction ⋮ Satellite with periodical mass redistribution: relative equilibria and their stability ⋮ Motion of test bodies with internal degrees of freedom in non-Euclidean spaces

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