POINTWISE 1-TYPE GAUSS MAP OF DEVELOPABLE SMARANDACHE RULED SURFACES IN E3 *

被引：0
|
作者：
Tamta, Stuti [1 ]
Gupta, Ram Shankar [1 ]
机构：
[1] Univ Sch Basic & Appl Sci, Guru Gobind Singh Indraprastha Univ, Sect 16C, New Delhi 110078, India
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2023年 / 38卷 / 04期
关键词：
Smarandache ruled surface; Gauss map; pointwise; 1-type; Laplace-Beltrami operator;
D O I：
10.22190/FUMI230504048T
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the developable TN, TB, and NB-Smarandache ruled surface with a pointwise 1-type Gauss map. In particular, we obtain that every developable TN-Smarandache ruled surface has constant mean curvature, and every de-velopable TB-Smarandache ruled surface is minimal if and only if the curve is a plane curve with non-zero curvature or a helix, and every developable NB-Smarandache ruled surface is always plane. We also provide some examples.
引用
收藏
页码：741 / 759
页数：19
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