On rectifying ruled surfaces

被引：0

作者：

Onder, Mehmet ^{[1
]}

Kahraman, Tanju ^{[2
]}

机构：

[1] Tepe St 63, TR-31440 Kirikhan, Hatay, Turkey

[2] Manisa Celal Bayar Univ, Dept Math, TR-45140 Muradiye, Manisa, Turkey

来源：

KUWAIT JOURNAL OF SCIENCE | 2020年 / 47卷 / 04期

关键词：

Minimal surface; rectifying surface; slant helix; slant ruled surface; LAPLACIAN SPECTRAL CHARACTERIZATION; EIGENVALUE;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this study, we define general rectifying ruled surfaces in the Euclidean 3-space E-3. We give some characterizations of rectifying ruled surfaces by considering the curvatures of base curve. We obtain the Gaussian curvature and the mean curvature and we investigate the condition for the surface to be minimal. Moreover, we give characterizations for some special curves lying on this surface. Finally, we obtain the relationships between rectifying ruled surfaces and slant ruled surfaces.

引用

页码：1 / 18

页数：18