int. electron. j. geom. International Electronic Journal of Geometry 1307-5624 Kazım İLARSLAN 10.36890/iejg.1404366 Algebraic and Differential Geometry Cebirsel ve Diferansiyel Geometri Twisted Surfaces in Semi-Euclidean $4$-Space with Index $2$ https://orcid.org/0000-0003-0172-1531 Uçum Ali KIRIKKALE UNİVERSİTY https://orcid.org/0000-0003-1708-280X İlarslan Kazım KIRIKKALE ÜNİVERSİTESİ https://orcid.org/0000-0002-0122-559X Camcı Çetin CANAKKALE ONSEKIZ MART UNIVERSITY 04 23 2024 17 1 24 33 12 13 2023 04 01 2024 Copyright © 2008, International Electronic Journal of Geometry 2008 International Electronic Journal of Geometry

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.

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