BLASCHKE APPROACH TO EULER-SAVARY FORMULAE FOR ONE PARAMETER DUAL HYPERBOLIC SPHERICAL MOTION

Authors : ZEHRA EKINCI, H. HUSEYIN UGURLU

Pages : 95-115

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Publication Date : 2016-10-01

Article Type : Research Paper

Abstract :In this paper, we have introduced one parameter dual hyperbolic spherical motions in the dual Lorentzian space. This examination is given using Blaschke frame of axodes corresponding to the curves on the unit dual hyperbolic sphere. By considering Disteli axis on the Blaschke frame we have obtained Euler Savary formulae for one parameter dual hyperbolic spherical motions. At the end of this study, by obtaining orthogonal rotation matrices in the sense of dual Lorentzian type, we have found real and dual invariants of fixed and moving axodes.
Keywords : Euler Savary formulae, Lorentzian geometry, Motion geometry