Curves in Lightlike Planes in Three-Dimensional Lorentz-Minkowski Space

被引：0

作者：

Filipan, Ivana ^{[1
]}

Sipus, Zeljka Milin ^{[2
]}

Gajcic, Ljiljana Primorac ^{[3
]}

机构：

[1] Univ Zagreb, Fac Min Geol & Petr Engn, Zagreb 10000, Croatia

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

[3] Univ Osijek, Sch Appl Math & Comp Sci, Osijek HR-31000, Croatia

来源：

MATHEMATICS | 2023年 / 11卷 / 24期

关键词：

Lorentz-Minkowski space; pseudo-null curve; pseudo-torsion; isotropic curvature; lightlike plane;

D O I：

10.3390/math11244880

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we analyze the intrinsic geometry of lightlike planes in the three-dimensional Lorentz-Minkowski space M-3. We connect the theory of curves lying in lightlike planes in M-3 with the theory of curves in the simply isotropic plane I-2. Based on these relations, we characterize some special classes of curves that lie in lightlike planes in M-3.

引用

页数：12

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