Dualities of Differential Geometric Invariants on Cuspidal Edges on Flat Fronts in the Hyperbolic Space and the de Sitter Space

被引：4
|
作者：
Saji, Kentaro [1 ]
Teramoto, Keisuke [2 ]
机构：
[1] Kobe Univ, Grad Sch Sci, Dept Math, Nada Ku, Rokkodai 1-1, Kobe, Hyogo 6578501, Japan
[2] Kyushu Univ, Inst Math Ind, Motooka 744, Fukuoka 8190395, Japan
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2020年 / 17卷 / 02期
关键词：
Cuspidal edge; flat front; duality; LINEAR WEINGARTEN SURFACES; SCHWARZ MAP; LEGENDRIAN DUALITIES; HYPERSURFACES; SINGULARITIES; PARALLEL; BEHAVIOR; 3-SPACE;
D O I：
10.1007/s00009-020-1474-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We compute the differential geometric invariants of cuspidal edges on flat surfaces in hyperbolic 3-space and in de Sitter space. Several dualities of invariants are pointed out.
引用
收藏
页数：20
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