The invariants of Dual Parallel equidistant ruled surfaces

S Gür Mazlum, S Şenyurt, L Grilli - Symmetry, 2023 - mdpi.com
In this paper, we calculate the Gaussian curvatures of the dual spherical indicatrix curves
formed on unit dual sphere by the Blaschke vectors and dual instantaneous Pfaff vectors of …

Kinematics applications of dual transformations

G Yüca - Journal of Geometry and Physics, 2021 - Elsevier
The dual transformation between Lie groups is given in Dohi et al.(2010). In this study, a
new dual transformation is defined between Lie algebras of Lie groups, allows us to obtain …

A new construction of timelike ruled surfaces with constant Disteli-axis

RA Abdel-Baky, YI Unluturk - Honam Mathematical Journal, 2020 - koreascience.kr
A NEW CONSTRUCTION OF TIMELIKE RULED SURFACES WITH CONSTANT DISTELI-AXIS
Rashad A. Abdel-Baky and YasIn Unlütürk 1. Introd Page 1 Honam Mathematical J. 42 (2020) …

[PDF][PDF] Dual split quaternions and screw motion in Minkowski 3-space

L Kula, Y Yayli - 2006 - sid.ir
In this paper, two new Hamilton operators are defined and the algebra of dual split
quaternions is developed using these operators. It is shown that finite screw motions in …

Yüksek Lisans Tezi

IIMD İSLAMCILIK, İIM CEMİYETİ - 2008 - search.proquest.com
TC BALIKESİR ÜNİVERSİTESİ SOSYAL BİLİMLER ENSTİTÜSÜ TARİH ANABİLİM DALI II.
MEŞRUTİYET DÖNEMİNDE İSLAMCILIK Page 1 TC BALIKESİR ÜNİVERSİTESİ SOSYAL …

[PDF][PDF] Spacelike curves of constant breadth in Minkowski 4-space

M Kazaz, M Onder, H Kocayigit - Int. J. Math. Anal, 2008 - m-hikari.com
In this paper, the concepts concerning the space curves of constant breadth in Euclidean 4-
space are transformed to Minkowski 4-space. We show that when a spacelike curve (C) is …

Dual transformations and quaternions

G Yüca, Y Yaylı - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
In this study, we are interested in the way quaternions to represent 3D and 4D rotations in
Lorentzian space. We give a new method for obtaining a rotation matrix in Lorentzian space …

Dual Transformation Between and and Its Geometric Applications

G Yüca, Y Yaylı - Proceedings of the National Academy of Sciences …, 2018 - Springer
This paper defines a dual transformation between dual-special orthogonal matrices SO (3)
SO^(3) and dual-special semi-orthogonal matrices SO (2, 1) SO^(2, 1). This transformation …

[PDF][PDF] Timelike curves of constant slope in Minkowski space

H Kocayiğit, M Önder - J. Science Techn. Beykent Üni, 2007 - researchgate.net
Timelike curves of constant slope in Minkowski space Page 151 Journal of Science and
Technology 1 (2), 2007, 311-318 © BEYKENT UNIVERSITY 311 TIMELIKE CURVES OF …

[PDF][PDF] Tangent bundle of pseudo-sphere and ruled surfaces in Minkowski 3-space

M Bekar, F Hathout, Y Yaylı - General Letters in Mathematics, 2018 - refaad.com
According to E. Study map in Minkowski space, we give in this present paper, a one-to-one
correspondence between” the curves on tangent bundles of Lorentzian (or de Sitter) unit …