Dual transformation between S(O)over-cap(3) and S(O)over-cap (2,1) and its geometric applications

Yüca, GulsumYaylı, Yusuf13.07.20192019-07-1613.07.20192019-07-1620180369-82032250-1762https://doi.org/10.1007/s40010-017-0404-3https://hdl.handle.net/20.500.12451/4701This paper defines a dual transformation between dual-special orthogonal matrices S ((O) over cap (3) and dual-special semi-orthogonal matrices S ((O) over cap2, 1). This transformation makes clear the relations how orthogonal axes look like in 3-dimensional dual space D-3 and 3-dimensional dual-Minkowski space D-1(3). Also, the similarities between E(3)and E-1(3) is given by drawn some pictures of rotational surfaces using Mapple 13.eninfo:eu-repo/semantics/closedAccessDual TransformationDual MatricesSpace MotionScrew AxisDual transformation between S(O)over-cap(3) and S(O)over-cap (2,1) and its geometric applicationsArticle88226727310.1007/s40010-017-0404-3Q3WOS:000436463000012N/A