Graph Translation Surface in the Lorentz-Heisenberg 3-space with constant curvatures

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Cankaya University Journal of Science and Engineering
Volume:19 Issue:1
Graph Translation Surface in the Lorentz-Heisenberg 3-space with constant curvatures

Graph Translation Surface in the Lorentz-Heisenberg 3-space with constant curvatures

Authors : Zoubır HANİFİ, Brahim MEDJAHDI

Pages : 13-21

View : 52 | Download : 12

Publication Date : 2022-05-01

Article Type : Research Paper

Abstract :In this paper, we study graph translation surfaces in a 3-dimensional Lorentz-Heisenberg 3-space H3. The classification theorems of the considered surfaces with zero and nonzero mean and Gaussian curvatures are given. Contrary to the Euclidean case, there is evidence that , translation surfaces with constant Gaussian curvature K that are not cylindrical surfaces, with constant mean curvature H ̸= 0 which are not settled.
Keywords : Lorentz Heisenberg 3 space, Graph Translation Surface, Mean curvature, Gaussian curvature

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