Senoussi, Bendehiba (2019) Translation and homothetical TH-surfaces in the 3-dimensional Euclidean space E 3 and Lorentzian-Minkowski space E 3 1. Open Journal of Mathematical Sciences, 3 (1). pp. 234-244. ISSN 26164906
Text
translation-and-homothetical-th-surfaces-in-the-3-dimensional-euclidean-space-mathbb{e}^{3}-and-lorentzian-minkowski-space-mathbb{e}_{1}^{3}.pdf
Download (447kB)
translation-and-homothetical-th-surfaces-in-the-3-dimensional-euclidean-space-mathbb{e}^{3}-and-lorentzian-minkowski-space-mathbb{e}_{1}^{3}.pdf
Download (447kB)
Official URL: https://doi.org/10.30538/oms2019.0066
Abstract
In the 3-dimensional Euclidean space E 3 and Lorentzian-Minkowski space E 3 1 , a translation and homothetical TH-surface is parameterized z ( u , v ) = A ( f ( u ) + g ( v ) ) + B f ( u ) g ( v ) , where f and g are smooth functions and A , B are non-zero real numbers. In this paper, we define TH-surfaces in the 3-dimensional Euclidean space E 3 and Lorentzian-Minkowski space E 3 1 and completely classify minimal or flat TH-surfaces.
Item Type: | Article |
---|---|
Subjects: | Research Asian Plos > Mathematical Science |
Depositing User: | Unnamed user with email support@research.asianplos.com |
Date Deposited: | 28 Jan 2023 09:53 |
Last Modified: | 26 Oct 2024 04:18 |
URI: | http://abstract.stmdigitallibrary.com/id/eprint/98 |