What question did this study set out to answer?

The aim is to explore isometric helicoidal and rotational surfaces in Minkowski space and their Gauss map relationship.

February 9, 2026Open Access

Isometric timelike helicoidal and rotational surfaces in 4-dimensional Minkowski space

Puntos clave

The aim is to explore isometric helicoidal and rotational surfaces in Minkowski space and their Gauss map relationship.
Analyzed Bour's theorem for timelike helicoidal surfaces in 4-dimensional Minkowski space.
Characterized a pair of isometric surfaces sharing the same Gauss map.
Provided parametrizations for the described isometric surfaces.
Utilized Wolfram Mathematica 10.4 for graph plotting.
Characterization of isometric helicoidal and rotational surfaces was achieved.
Explicit parametrizations for these surfaces were established.
Examples and corresponding graphs demonstrated the findings effectively.

Resumen

In this paper, we examine classical Bour?s theorem for timelike helicoidal surfaces in 4-dimensional 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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Cite This Study

Demirci et al. (Wed,) studied this question.

synapsesocial.com/papers/69897996f0ec2af6756e768b https://doi.org/https://doi.org/10.2298/fil2516511d

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