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

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

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Bibliographic Details
Published inIndian journal of pure and applied mathematics Vol. 52; no. 4; pp. 1212 - 1228
Main Authors Babaarslan, Murat, Sönmez, Nilgün
Format Journal Article
LanguageEnglish
Published New Delhi Indian National Science Academy 01.12.2021
Springer Nature B.V
Subjects
Applications of Mathematics
Loxodromes
Mathematics
Mathematics and Statistics
Minkowski space
Numerical Analysis
Original Research
Loxodrome
Minkowski space–time
53B25
Helicoidal surface
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Summary:In this article, we first study a class of helicoidal surfaces in Minkowski space–time E 1 4 . Next, we find the parametrizations of loxodromes on the non-degenerate helicoidal surfaces in E 1 4 . In addition, we give some results and examples by using Mathematica.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-021-00030-x