Dual Transformation Between S(O)over-cap(3) and S(O)over-cap (2,1) and Its Geometric Applications

YÜCA, GÜLSÜM; YAYLI, YUSUF

doi:10.1007/s40010-017-0404-3

Dual Transformation Between S(O)over-cap(3) and S(O)over-cap (2,1) and Its Geometric Applications

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.88, sa.2, ss.267-273, 2018 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 88 Sayı: 2
Basım Tarihi: 2018
Doi Numarası: 10.1007/s40010-017-0404-3
Dergi Adı: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.267-273
Anahtar Kelimeler: Dual transformation, Dual matrices, Space motion, Screw axis
Ankara Üniversitesi Adresli: Evet

Özet

This 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.