Dual split quaternions and Chasles’ theorem in 3-dimensional minkowski space E1_3

dc.contributor.author	Ramis, Çağla
dc.contributor.author	Yaylı, Yusuf
dc.date.accessioned	2021-09-15T07:23:57Z
dc.date.available	2021-09-15T07:23:57Z
dc.date.issued	2013-06-13
dc.identifier.uri	http://hdl.handle.net/20.500.11787/4886
dc.description.abstract	In 1831, Michel Chasles proved the existence of a fixed line under a general displacement in R3. The fixed line called the screw axis of displacement was obtained by McCharthy in [10]. The purpose of this paper is to develop the method which is given for the pure rotation in [14], and thus to obtain the screw axis of spatial displacement in 3- dimensional Minkowski space. Firstly, we give a relation between dual vectors and lines in E3_1, characterize the screw axis. Also, we discuss the dual split quaternion representation of a spatial displacement.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Advances in Applied Clifford Algebras	tr_TR
dc.relation.isversionof	10.1007/s00006-013-0405-5	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	Chasles’ theorem	tr_TR
dc.subject	Cayley’s formula	tr_TR
dc.subject	Screw motion	tr_TR
dc.title	Dual split quaternions and Chasles’ theorem in 3-dimensional minkowski space E1_3	tr_TR
dc.type	article	tr_TR
dc.contributor.department	Nevşehir Hacı Bektaş Veli Üniversitesi/fen-edebiyat fakültesi/matematik bölümü/geometri anabilim dalı	tr_TR
dc.contributor.authorID	27719	tr_TR
dc.identifier.issue	23	tr_TR
dc.identifier.startpage	951	tr_TR
dc.identifier.endpage	964	tr_TR