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arXiv.org e-Print Archive
Preprint . 2003
Data sources: arXiv.org e-Print Archive
https://doi.org/10.4064/bc59-0...
Article . 2003 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2003
License: arXiv Non-Exclusive Distribution
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Banach Center Publications
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An affine framework for analytical mechanics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2003Embargo end date: 01 Jan 2003Publisher:Institute of Mathematics Polish Academy of SciencesJournal:Banach Center Publications
Authors: Pawel Urbanski;

doi: 10.4064/bc59-0-14 , 10.48550/arxiv.math/0303053

arXiv: http://arxiv.org/abs/math/0303053

An affine framework for analytical mechanics

Abstract

An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.

LamsTex, 25 pages

Related Organizations
Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), 58C11, 17B55; 58C11, FOS: Mathematics, FOS: Physical sciences, 17B55, Mathematical Physics (math-ph), Mathematical Physics

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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
Green
bronze