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

页码：2875 / 2887

页数：13

共 48 条

[31] Some New Characterizations of Ruled Surfaces with B-Focal Curve According to Bishop Frame in E3
Altay Suroglu, Gulden
1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018), 2018, 1991
[32] Biharmonic Constant Pi(1)-Slope Curves according to Type-2 Bishop Frame in Heisenberg Group Heis(3)
Korpinar, Talat
Turhan, Essin
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2014, 32 (02): : 73 - 82
[33] The natural lift curve of the spherical indicatrix of a non-null curve according to Bishop frame in Minkowski 3-Space
Ergun, Evren
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 2022, 15 (03): : 91 - 107
[34] Integral Equations of Biharmonic Constant Pi(1) - Slope Curves according to Type-2 Bishop Frame in the Sol Space
Korpinar, Talat
Turhan, Essin
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2013, 31 (02): : 205 - 212
[35] Inextensible Flows of Spacelike Curves on Spacelike Surfaces according to Darboux Frame in M-1(3)
Bas, Selcuk
Korpinar, Talat
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2013, 31 (02): : 9 - 17
[36] SMARANDACHE Π1B CURVES OF BIHARMONIC NEW TYPE CONSTANT Π2 - SLOPE CURVES ACCORDING TO TYPE-2 BISHOP FRAME IN THE SOL SPACE
Korpinar, Zeliha
Korpinar, Talat
JOURNAL OF SCIENCE AND ARTS, 2021, (03): : 681 - 688
[37] A New Version Darboux Vector and Characterization Some Special Curves According to Type-2 Bishop Frame in R3
Yilmaz, Suha
Savci, Umit Ziya
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2017, 87 (03) : 355 - 362
[38] CONSTRUCTION OF B-FOCAL CURVES OF SPACELIKE BIHARMONIC B-SLANT HELICES ACCORDING TO BISHOP FRAME IN E(1, 1)
Korpinar, Talat
Turhan, Essin
ATTI ACCADEMIA PELORITANA DEI PERICOLANTI-CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI, 2012, 90 (01):
[39] ON M-2 SURFACES OF BIHARMONIC B-GENERAL HELICES ACCORDING TO BISHOP FRAME IN HEISENBERG GROUP Heis(3)
Korpinar, Talat
Turhan, Essin
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2012, 27 (03): : 337 - 344
[40] Translation surfaces generated by the spherical indicatrices of Frenet frame of regular curves of 3-dimensional Euclidean space
Khan, Salma
Izid, Malika
Ouarab, Soukaina
Chahdi, Amina Ouazzani
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2025, 43

← 1 2 3 4 5 →