Twisted Surfaces in Semi-Euclidean $4$-Space with Index $2$

Objective & Hypothesis:In this paper, we consider the twisted surfaces in semi-Euclidean 4-space with index 2.We classify the twisted surface with respect to their spine curve which are non-null or null curves.

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Key Findings & Data:So, we study the geometric properties of these surfaces.

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Conclusion & Impact:Also we obtain the family of some special surfaces such as flat surfaces, marginally trapped surfaces.

🔬Design:Research Article

📍Scope:Comprehensive Sample

⚙️Variables:Twisted surface · normal curvature tensor · parallel mean curvature vector

Abstract

In this paper, we consider the twisted surfaces in semi-Euclidean 4-space with index 2.We classify the twisted surface with respect to their spine curve which are non-null or null curves. So, we study the geometric properties of these surfaces. Also we obtain the family of some special surfaces such as flat surfaces, marginally trapped surfaces.

Keywords

Twisted surface normal curvature tensor parallel mean curvature vector minimal surface flat surface

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Cite This Article

Uçum, A., İlarslan, K., Camcı, Ç. (2024). Twisted Surfaces in Semi-Euclidean $4$-Space with Index $2$. International Electronic Journal of Geometry, Volume: 17 Issue: 1. https://doi.org/10.36890/iejg.1404366

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