GEOMETRIC CHARACTERIZATIONS OF CANAL SURFACES IN MINKOWSKI 3-SPACE I

被引：3

作者：

Fu, Xueshan ^{[1
]}

Jung, Seoung Dal ^{[2
]}

Qian, Jinhua ^{[1
]}

Su, Mengfei ^{[1
]}

机构：

[1] Northeastern Univ, Dept Math, Shenyang 110004, Liaoning, Peoples R China

[2] Jeju Natl Univ, Dept Math, Jeju 63243, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Minkowski; 3-space; canal surface; pseudo sphere; linear Weingarten surface;

D O I：

10.4134/BKMS.b180643

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The canal surfaces foliated by pseudo spheres S-1(2) along a space curve in Minkowski 3-space are studied. The geometric properties of such surfaces are shown by classifying the linear Weingarten canal surfaces, the developable, minimal and umbilical canal surfaces are discussed at the same time.

引用

页码：867 / 883

页数：17

共 9 条

[1]

Karacan M. K., 2014, Gen. Math. Notes, V22, P44

[2] On non-developable ruled surfaces in Lorentz-Minkowski 3-spaces [J].

Kim, Young Ho ;

Yoon, Dae Won .

TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (01) :197-214

[3] SOME CHARACTERIZATIONS OF CANAL SURFACES [J].

Kim, Young Ho ;

Liu, Huili ;

Qian, Jinhua .

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (02) :461-477

[4]

L?pez R., 2008, MAT CONT, V35, P95

[5] Rotational linear Weingarten surfaces of hyperbolic type [J].

Lopez, Rafael .

ISRAEL JOURNAL OF MATHEMATICS, 2008, 167 (01) :283-301

[6]

Qian J., GEOMETRIC CHAR UNPUB

[7] Classifications of Canal Surfaces with L1-Pointwise 1-Type Gauss Map [J].

Qian, Jinhua ;

Kim, Young Ho .

MILAN JOURNAL OF MATHEMATICS, 2015, 83 (01) :145-155

[8] New Types of Canal Surfaces in Minkowski 3-Space [J].

Ucum, Ali ;

Ilarslan, Kazim .

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (01) :449-468

[9] Analytic and algebraic properties of canal surfaces [J].

Xu, Zhiqiang ;

Feng, Renzhong ;

Sun, Jia-guang .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 195 (1-2) :220-228

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