Generalized osculating-type ruled surfaces of singular curves

被引：3

作者：

Yazici, Bahar Dogan ^{[1
]}

Isbilir, Zehra ^{[2
]}

Tosun, Murat ^{[3
]}

机构：

[1] Bilecik Seyh Edebali Univ, Dept Math, Bilecik, Turkiye

[2] Duzce Univ, Dept Math, Duzce, Turkiye

[3] Sakarya Univ, Dept Math, Sakarya, Turkiye

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 08期

关键词：

cross-cap; framed curve; framed surface; osculating-type ruled surface; UNIT SPHERICAL BUNDLE; DEVELOPABLE SURFACES; LEGENDRE CURVES; FRAMED CURVES; BERTRAND;

D O I：

10.1002/mma.8997

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we introduce generalized osculating-type ruled surfaces of special singular curves. We give some theories and results about the geometric structure of the surface. In addition, the singular point classes of the surface are examined, and the conditions for being a cross-cap surface are expressed. Generalized osculating-type ruled surface is considered as a framed surface and its basic invariants are found and some results are given. Finally, we give some examples and figures to support the theories.

引用

页码：8532 / 8545

页数：14

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