Space-like surfaces in Minkowski space $E^4_1$ with pointwise 1-type Gauss map

• Date: 2019
• Main Authors: Dursun, U., Turgay, N. C., Дурсун, У., Тургау, Н. Ц.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1419
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We first classify space-like surfaces in the Minkowski space $E^4_1$, de Sitter space $S^3_1$, and hyperbolic space $H^3$ with harmonic Gauss map. Then we give a characterization and classification of space-like surfaces with pointwise 1-type Gauss map of the first kind. We also present some explici...