Geometric aspects of the co-rotational derivative of a continuous motion

Kadianakis, N

dc.contributor.author	Kadianakis, N	en
dc.date.accessioned	2014-03-01T01:12:57Z
dc.date.available	2014-03-01T01:12:57Z
dc.date.issued	1997	en
dc.identifier.issn	0044-2267	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12291
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	MECHANICS	en
dc.subject.other	TIME	en
dc.title	Geometric aspects of the co-rotational derivative of a continuous motion	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/zamm.19970770211	en
heal.identifier.secondary	http://dx.doi.org/10.1002/zamm.19970770211	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	In this work we use a frame-independent version of the co-rotational derivative of a motion, and study the geometry defined by this derivative on classical space-time. This is done in the general framework of derivatives, called Spins, which define a rigid parallel translation of space-like vectors. We express the Spin itself in terms of this translation, and show that for a non-uniform Spin this translation depends on the path. Since the co-rotational derivative is a Spin, its geometry is studied in this context. After showing that the relative vorticity of two motions is the difference of their co-rotational derivatives, we prove that the translation defined by the co-rotational derivative of a motion is path-independent, if and only if the motion is homogeneous.	en
heal.publisher	AKADEMIE VERLAG GMBH	en
heal.journalName	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik	en
dc.identifier.doi	10.1002/zamm.19970770211	en
dc.identifier.isi	ISI:A1997WP81400006	en
dc.identifier.volume	77	en
dc.identifier.issue	2	en
dc.identifier.spage	137	en
dc.identifier.epage	142	en