Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$

Dursun, Uğur

doi:10.55730/1300-0098.3326

Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$

Uğur DURSUN (Işık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümü, İstanbul, Türkiye)

Turkish Journal of Mathematics

7 0

Yıl: 2022 Cilt: 46 Sayı: 8 Sayfa Aralığı: 3171 - 3191 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3326 İndeks Tarihi: 02-01-2023

Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$

Öz:

Let I ×f E21 be a 3-dimensional Lorentzian warped product manifold with the metric ̃$g = dt^2 + f^2(t)(dx^2 − dy^2)$ , where I is an open interval, f is a strictly positive smooth function on I, and $mathbb{E^2_1}$ is the Minkowski 2-plane. In this work, we give a classification of all space-like and time-like constant angle surfaces in $I ×f mathbb{^2_1}$ 1 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 $mathbb{H^3_1}(−1) $.

Anahtar Kelime: Constant angle surface warped product rotational surface maximal surface zero mean curvature Gaussian curvature

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Dursun U (2022). Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$. , 3171 - 3191. 10.55730/1300-0098.3326
Chicago	Dursun Uğur Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$. (2022): 3171 - 3191. 10.55730/1300-0098.3326
MLA	Dursun Uğur Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$. , 2022, ss.3171 - 3191. 10.55730/1300-0098.3326
AMA	Dursun U Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$. . 2022; 3171 - 3191. 10.55730/1300-0098.3326
Vancouver	Dursun U Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$. . 2022; 3171 - 3191. 10.55730/1300-0098.3326
IEEE	Dursun U "Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$." , ss.3171 - 3191, 2022. 10.55730/1300-0098.3326
ISNAD	Dursun, Uğur. "Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$". (2022), 3171-3191. https://doi.org/10.55730/1300-0098.3326

APA	Dursun U (2022). Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$. Turkish Journal of Mathematics, 46(8), 3171 - 3191. 10.55730/1300-0098.3326
Chicago	Dursun Uğur Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$. Turkish Journal of Mathematics 46, no.8 (2022): 3171 - 3191. 10.55730/1300-0098.3326
MLA	Dursun Uğur Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$. Turkish Journal of Mathematics, vol.46, no.8, 2022, ss.3171 - 3191. 10.55730/1300-0098.3326
AMA	Dursun U Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$. Turkish Journal of Mathematics. 2022; 46(8): 3171 - 3191. 10.55730/1300-0098.3326
Vancouver	Dursun U Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$. Turkish Journal of Mathematics. 2022; 46(8): 3171 - 3191. 10.55730/1300-0098.3326
IEEE	Dursun U "Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$." Turkish Journal of Mathematics, 46, ss.3171 - 3191, 2022. 10.55730/1300-0098.3326
ISNAD	Dursun, Uğur. "Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$". Turkish Journal of Mathematics 46/8 (2022), 3171-3191. https://doi.org/10.55730/1300-0098.3326