Constant angle surfaces in the Lorentzian warped product manifold I ×f E²1

Autor: Dursun, Uğur
Přispěvatelé: Işık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümü, Işık University, Faculty of Engineering and Natural Sciences, Department of Mathematics, Dursun, Uğur
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Popis: Let I ×f E²1 be a 3-dimensional Lorentzian warped product manifold with the metric g˜ = dt² + f² (t)(dx² − dy² ), where I is an open interval, f is a strictly positive smooth function on I, and E²1 is the Minkowski 2-plane. In this work, we give a classification of all space-like and time-like constant angle surfaces in I ×f E²1 with nonnull principal direction when the surface is time-like. In this classification, we obtain space-like and time-like surfaces with zero mean curvature, rotational surfaces, and surfaces with constant Gaussian curvature. Also, we have some results on constant angle surfaces of the anti-de Sitter space H³1(−1). Publisher's Version Q3 WOS:000890825900007
Databáze: OpenAIRE