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

Year 2024, Volume: 17 Issue: 1, 24 - 33, 23.04.2024

Ali Uçum , Kazım İlarslan , Çetin Camcı

https://doi.org/10.36890/iejg.1404366

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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