Classification of space-like translation surfaces in the 3-dimensional Lorentz Heisenberg group H3

Purpose – In the Lorentz Heisenberg space H3 endowed with flat metric g3, a translation surface is parametrized by r(x, y) = γ1(x)*γ2(y), where γ1 and γ2 are two planar curves lying in planes, which are not orthogonal. In this article, we classify translation surfaces in H3, which satisfy some algeb...

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Bibliographic Details
Main Authors: Rafik Medjati, Hanifi Zoubir, Brahim Medjahdi
Format: Article
Language:English
Published: Emerald Publishing 2023-07-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:https://www.emerald.com/insight/content/doi/10.1108/AJMS-03-2021-0071/full/pdf