MINDING ISOMETRIES OF RULED SURFACES IN LORENTZ-MINKOWSKI SPACE

被引：0

作者：

Gajcic, Ljiljana Primorac ^{[1
]}

Sipus, Zeljka Milin ^{[2
]}

机构：

[1] Univ Osijek, Dept Math, Osijek 31000, Croatia

[2] Univ Zagreb, Fac Sci, Dept Math, Zagreb 10000, Croatia

来源：

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI | 2019年 / 23卷 / 538期

关键词：

Lorentz-Minkowski space; isometry; ruled surface; B-scroll; CURVES;

D O I：

10.21857/y54jofpplm

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study isometrics of ruled surfaces in the Lorentz-Minkowski space that preserve rulings. A special attention is given to the classes of surfaces having no Euclidean counterparts. We also construct some examples of isometric ruled surfaces with certain properties and rulings preserved.

引用

页码：107 / 122

页数：16

共 50 条

[21] On the curvatures of timelike circular surfaces in Lorentz-Minkowski space
Li, Jing
Yang, Zhichao
Li, Yanlin
Abdel-Baky, R. A.
Saad, M. Khalifa
FILOMAT, 2024, 38 (04) : 1423 - 1437
[22] On non-developable ruled surfaces in Lorentz-Minkowski 3-spaces
Kim, Young Ho
Yoon, Dae Won
TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (01): : 197 - 214
[23] Space-like surfaces with free boundary in the Lorentz-Minkowski space
Lopez, R.
Pyo, J.
CLASSICAL AND QUANTUM GRAVITY, 2012, 29 (03)
[24] Loxodromes on twisted surfaces in Lorentz-Minkowski 3-space
Kazan, Ahmet
Altm, Mustafa
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (04)
[25] ON MAXIMAL SURFACES IN THE N-DIMENSIONAL LORENTZ-MINKOWSKI SPACE
ESTUDILLO, FJM
ROMERO, A
GEOMETRIAE DEDICATA, 1991, 38 (02) : 167 - 174
[26] NONORIENTABLE MAXIMAL SURFACES IN THE LORENTZ-MINKOWSKI 3-SPACE
Fujimori, Shoichi
Lopez, Francisco J.
TOHOKU MATHEMATICAL JOURNAL, 2010, 62 (03) : 311 - 328
[27] Solutions of the Bjorling problem for timelike surfaces in the Lorentz-Minkowski space
Kaya, Seher
Lopez, Rafael
TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (05) : 2186 - 2201
[28] Ruled surfaces as translating solitons of the inverse mean curvature flow in the three-dimensional Lorentz-Minkowski space
Neto, Gregorio Silva
Silva, Vanessa
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 528 (02)
[29] A family of maximal surfaces in Lorentz-Minkowski three-space
Kim, Young Wook
Yang, Seong-Deog
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (11) : 3379 - 3390
[30] Translation Surfaces of the Third Fundamental Form in Lorentz-Minkowski Space
Senoussi, Bendehiba
Bekkar, Mohammed
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2022, 17 (01): : 165 - 176

← 1 2 3 4 5 →