Affine connections and frames of reference in classical mechanics

Kadianakis, N

dc.contributor.author	Kadianakis, N	en
dc.date.accessioned	2014-03-01T01:08:14Z
dc.date.available	2014-03-01T01:08:14Z
dc.date.issued	1991	en
dc.identifier.issn	00344877	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10360
dc.subject	Classical Mechanics	en
dc.subject	Frame of Reference	en
dc.title	Affine connections and frames of reference in classical mechanics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0034-4877(91)90036-M	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0034-4877(91)90036-M	en
heal.publicationDate	1991	en
heal.abstract	In recent formulations of Classical Mechanics the concept of affine has been used for the representation of frames of reference, in the sense of measuring accelerations as well as other time derivatives, especially in Continuum Mechanics. In this work we give a mathematical insight into this representation. We define on the space-time manifold a set of compatible affine connections and a set of frames, and we classify these sets in a natural way. Then we establish a map between these sets and study its properties in relation to the classes defined in these sets. © 1992.	en
heal.journalName	Reports on Mathematical Physics	en
dc.identifier.doi	10.1016/0034-4877(91)90036-M	en
dc.identifier.volume	30	en
dc.identifier.issue	1	en
dc.identifier.spage	21	en
dc.identifier.epage	32	en