On the quaternionic curves according to parallel transport frame

Soyfidan, Tülay; Parlatıcı, Hatice; Güngör, Mehmet Ali

dc.date	2013
dc.date.accessioned	2021-11-22T13:46:03Z
dc.date.available	2021-11-22T13:46:03Z
dc.date.issued	2013
dc.identifier.citation	Soyfidan, T., Parlatıcı, H., & Güngör, M.A. (2013), On the quaternionic curves according to parallel transport frame, TWMS J. Pure Appl. Math.,4:194-203.	en_US
dc.identifier.uri	https://hdl.handle.net/20.500.12619/96498
dc.description.abstract	In this paper, we have studied parallel transport frame for a quaternionic curve in E3 and E4. Firstly, we have defined a new kind of slant helix with respect to parallel transport frame and given some necessary and sufficient conditions for the quaternionic slant helix in E3. We have introduced a new definition of harmonic curvature functions in terms of M3 according to parallel transport frame and defined quaternionic M3−slant helix by using the new harmonic curvature functions in E4.	en_US
dc.language.iso	eng	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	Parallel transport frame	en_US
dc.subject	quaternionic curves	en_US
dc.subject	quaternionic M3−slant helix	en_US
dc.subject	rotations	en_US
dc.subject	quaternionic space	en_US
dc.title	On the quaternionic curves according to parallel transport frame	en_US
dc.type	article	en_US
dc.contributor.authorID	0000-0001-6444-1460	en_US
dc.contributor.authorID	0000-0001-5059-4167	en_US
dc.contributor.authorID	0000-0003-1863-3183	en_US
dc.identifier.volume	4	en_US
dc.identifier.startpage	194	en_US
dc.identifier.endpage	203	en_US
dc.contributor.department	Sakarya Üniversitesi, Fen-Edebiyat Fakültesi , Matematik	en_US
dc.relation.journal	TWMS J. Pure Appl. Math.	en_US
dc.identifier.issue	2	en_US
dc.contributor.author	Soyfidan, Tülay
dc.contributor.author	Parlatıcı, Hatice
dc.contributor.author	Güngör, Mehmet Ali