In this paper, we examine timelike loxodromes on three kinds of Lorentzian helicoidal surfaces
in Minkowski nn-space.
First, we obtain the first order ordinary differential equations which determine timelike loxodromes
on the Lorentzian helicoidal surfaces in En1E1n
according to the causal characters of their meridian curves.
Then, by finding general solutions, we get the explicit parametrizations of such timelike loxodromes.
In particular, we investigate the timelike loxodromes on the three kinds of Lorentzian right
helicoidal surfaces in En1E1n. Finally, we give an example to visualize the results.
Loxodromes (rhumb lines) navigation rotational surfaces helicoidal surfaces Minkowski space
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | September 30, 2022 |
Submission Date | October 9, 2021 |
Acceptance Date | May 13, 2022 |
Published in Issue | Year 2022 Volume: 71 Issue: 3 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.