THE SPIRALS ON THE OBLATE AND PROLATE SPHEROIDS OF LORENTZ-MINKOWSKI 3− SPACE R13

Vahide Bulut, Hasan Huseyin Ugurlu

DOI Number
https://doi.org/10.22190/FUMI210830020B
First page
285
Last page
299

Abstract


Spirials are differentiable curves that meet all meridians of a rotational surface at a constant angle. In this study, we obtain differential equations of all spirals on hyperbolic oblate and Lorentzian prolate spheroids. Then we define the general parametrizations of spirals which are solutions of differential equations.


Keywords

Unit hyperbolic sphere, unit Lorentzian sphere, hyperbolic oblate spiral, Lorentzian prolate spiral, Lorentz Minkowski $3-$space.

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References


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DOI: https://doi.org/10.22190/FUMI210830020B

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