Tangent bundle of unit 2-sphere and slant ruled surfaces

被引：4

作者：

Karaca, Emel ^{[1
]}

Caliskan, Mustafa ^{[2
]}

机构：

[1] Ankara Haci Bayram Veli Univ, Dept Math, Ankara, Turkiye

[2] Gazi Univ, Dept Math, Ankara, Turkiye

来源：

FILOMAT | 2023年 / 37卷 / 02期

关键词：

Natural lift; Tangent bundle; Unit dual sphere; Slant ruled surface;

D O I：

10.2298/FIL2302491K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an isomorphism between unit dual sphere, DS2, and the subset of tangent bundle of unit 2-sphere, T (M) over bar, is represented. According to E. Study mapping, a ruled surface in IR3 corresponds to each curve on DS2. Through this isomorphism, new forms of ruled surfaces called slant ruled surfaces in IR3 were introduced. Moreover, conditions for these surfaces to be slant ruled surfaces were given. Finally, a unique (q) over bar-, (h) over bar- and (a) over bar- slant ruled surfaces in IR3 were corresponded to each striction curve of natural lift curve on T (M) over bar.

引用

页码：491 / 503

页数：13

共 23 条

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