Published January 1, 2025
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Isometric timelike helicoidal and rotational surfaces in 4-dimensional Minkowski space
- 1. Fatih Sultan Mehmet Vakif Univ, Fac Engn, Dept Software Engn, TR-34445 Istanbul, Turkiye
- 2. Yozgat Bozok Univ, Fac Sci & Letters, Dept Math, TR-66900 Yozgat, Turkiye
Description
In this paper, we examine classical Bour's theorem for timelike helicoidal surfaces in 4dimensional Minkowski space. Then, we characterize a pair of isometric helicoidal and rotational surface which have same Gauss map. Also, we provide the parametrizations of such isometric surfaces. Finally, we introduce some examples and plot the corresponding graphs by using Wolfram Mathematica 10.4.
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