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

Author:

Uçum Ali1ORCID,İlarslan Kazım2ORCID,Camcı Çetin3ORCID

Affiliation:

1. KIRIKKALE UNİVERSİTY

2. KIRIKKALE ÜNİVERSİTESİ

3. CANAKKALE ONSEKIZ MART UNIVERSITY

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.

Publisher

International Electronic Journal of Geometry, Person (Kazim ILARSLAN)

Reference16 articles.

1. [1] Dede, M., Ekici, C., Goemans,W. and Ünlütürk, Y.: Twisted surfaces with vanishing curvature in Galilean 3-space. Int. J. Geom. Methods Mod.Phys. 15, 1850001 (13 pages)(2018).

2. [2] Duggal, K. L. and Jin, D. H.: Null curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientific Publishing (2007).

3. [3] Goemans,W. andWoestyne, I. Van de: Twisted surfaces in Euclidean and Minkowski 3-space, Pure and Applied Differential Geometry: J. Vander Veken, I. Van de Woestyne, L. Verstraelen and L. Vrancken (Editors), Shaker Verlag Aachen, Germany, 143-151 (2013).

4. [4] Goemans, W. and Woestyne, I. Van de: Constant curvature twisted surfaces in Euclidean and Minkowski 3-space. In: Proceedings of theconference ”Riemannian Geometry and Applications to Engineering and Economics-RIGA”, Bucharest, Romania, 117-130 (2014).

5. [5] Goemans, W. and Woestyne, I. Van de: Twisted surfaces with null rotation axis in Minkowski 3-space. Results. Math. 70, 81-93 (2016).

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