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
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
收藏
页数:12
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