On simultaneous characterizations of partner-ruled surfaces in Minkowski 3-space

被引：19
|
作者：
Li, Yanlin [1 ,2 ]
Eren, Kemal [3 ]
Ersoy, Soley [4 ]
机构：
[1] Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China
[2] Hangzhou Normal Univ, Key Lab Cryptog Zhejiang Prov, Hangzhou 311121, Peoples R China
[3] Sakarya Univ Technol Dev Zones Manager CO, TR-54050 Sakarya, Turkiye
[4] Sakarya Univ, Fac Sci, Dept Math, TR-54050 Sakarya, Turkiye
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 09期
基金：
中国国家自然科学基金;
关键词：
partner -ruled surface; developable and minimal surface; geodesic curve; asymptotic; curve; CONSTANT MEAN-CURVATURE; TIME-LIKE SURFACES; DEVELOPABLE SURFACES; GAUSS MAP; CURVES; SOLITON; SINGULARITIES; OPERATOR; RICCI;
D O I：
10.3934/math.20231135
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, the partner-ruled surfaces in Minkowski 3-space, which are defined according to the Frenet vectors of non-null space curves, are introduced with extra conditions that guarantee the existence of definite surface normals. First, the requirements of each pair of partner-ruled surfaces to be simultaneously developable and minimal (or maximal for spacelike surfaces) are investigated. The surfaces also simultaneously characterize the asymptotic, geodesic and curvature lines of the parameter curves of these surfaces. Finally, the study provides examples of timelike and spacelike partner-ruled surfaces and includes their graphs.
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页码：22256 / 22273
页数：18
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