Legendrian dualities between spherical indicatrixes of curves and surfaces according to Bishop frame

被引：4
|
作者：
Liu, Haiming [1 ]
Pei, Donghe [2 ]
机构：
[1] Mudanjiang Normal Univ, Sch Math, Mudanjiang 157011, Peoples R China
[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 05期
关键词：
Ruled surfaces; Bishop frame; Legendrian dualities; singularity theory;
D O I：
10.22436/jnsa.009.05.82
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Legendrian dualities between spherical indicatrixes of curves in Euclidean 3-space are investigated by using the theory of Legendrian duality. Moreover, the singularities of the ruled surfaces according to Bishop frame which are deeply related to space curves are classified from the viewpoints of wave fronts. We also give some more detail descriptions on the conditions of those singularities. (C) 2016 All rights reserved.
引用
收藏
页码：2875 / 2887
页数：13
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