Loxodromes on non-degenerate helicoidal surfaces in Minkowski space–time

Murat Babaarslan () and Nilgün Sönmez ()
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Murat Babaarslan: Yozgat Bozok University
Nilgün Sönmez: Afyon Kocatepe University

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 4, 1212-1228

Abstract: Abstract In this article, we first study a class of helicoidal surfaces in Minkowski space–time $${\mathbb{E}}^{4}_{1}$$ E 1 4 . Next, we find the parametrizations of loxodromes on the non-degenerate helicoidal surfaces in $${\mathbb{E}}^{4}_{1}$$ E 1 4 . In addition, we give some results and examples by using Mathematica.

Keywords: Loxodrome; Helicoidal surface; Minkowski space–time; 53B25 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00030-x

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