On instantaneous invariants of hyperbolic planes

Abdullah Inalcik; Ersoy, Soley; Hellmuth Stachel

dc.contributor.authors	Inalcik, A; Ersoy, S; Stachel, H;
dc.date.accessioned	2020-01-17T08:21:42Z
dc.date.available	2020-01-17T08:21:42Z
dc.date.issued	2017
dc.identifier.citation	Inalcik, A; Ersoy, S; Stachel, H; (2017). On instantaneous invariants of hyperbolic planes. MATHEMATICS AND MECHANICS OF SOLIDS, 22, 1057-1047
dc.identifier.issn	1081-2865
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6097
dc.description.abstract	In this study, we consider the kinematics of the hyperbolic plane and define the notions of inflection curve, circling-point curve, cubic of twice stationary curvature curve, and cubic of thrice stationary curve. We also obtain Cartesian and parametric equations of these curves and illustrate some special cases. Finally, we investigate the hyperbolic Ball point, the ordinary and the sixth-order Burmester points in the case of a finite instant pole.
dc.description.uri	https://doi.org/10.1177/1081286515616283
dc.language	English
dc.publisher	SAGE PUBLICATIONS LTD
dc.subject	Mechanics
dc.title	On instantaneous invariants of hyperbolic planes
dc.type	Article
dc.identifier.volume	22
dc.identifier.startpage	1047
dc.identifier.endpage	1057
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Ersoy, Soley
dc.relation.journal	MATHEMATICS AND MECHANICS OF SOLIDS
dc.identifier.wos	WOS:000400759300009
dc.identifier.doi	10.1177/1081286515616283
dc.identifier.eissn	1741-3028
dc.contributor.author	Abdullah Inalcik
dc.contributor.author	Ersoy, Soley
dc.contributor.author	Hellmuth Stachel