Semi-Euclidean quasi-elliptic planar motion
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.13, no.7, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 13 Issue: 7
- Publication Date: 2016
- Doi Number: 10.1142/s0219887816500894
- Journal Name: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: Split semi-quaternion, pseudo-rotation, quasi-elliptic motion, INVOLUTIONS
- Gazi University Affiliated: No
Abstract
The aim of this paper is to study the algebra of split semi-quaternions with their basic properties. Also, the results of the Euclidean planar motion given by Blaschke and Grunwald is generalized to semi-Euclidean planar motion by using the algebra of split semi-quaternions.