Linear frames in manifolds, Riemannian structures and description of internal degrees of freedom.
type: Item
instance of: scholarly article
title: Linear frames in manifolds, Riemannian structures and description of internal degrees of freedom.
zbMATH Open document ID: 1055.70006
DOI: 10.1016/S0034-4877(03)80028-9
published in: Reports on Mathematical Physics
publication date: 2004-08-06T00:00:00Z
review text: The author first reviews the geometry of frame bundle of a manifold. Then he discusses a continuum mechanical interpretation of the frames as internal degrees of freedom (leading to an affinely rigid body in his terminology). This interpretation requires a metric on the frame bundle, and a number of different possibilities for natural derivation of such a metric from the geometry of the base manifold are considered. Finally, the corresponding Hamiltonian equations of motion are derived.
reviewed by: Werner M. Seiler
Mathematics Subject Classification ID: 70G45
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 53D05
Mathematics Subject Classification ID: 70E99
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 74A99
Mathematics Subject Classification ID: 83D05
zbMATH DE Number: 2084219
Wikidata QID: Q115339950
author: J. J. Sławianowski
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2084219