ON SPATIAL QUATERNIONIC SMARANDACHE RULED SURFACES

被引：0

作者：

Eren, Kemal ^{[1
]}

Caliskan, Abdussamet ^{[2
]}

Senyurt, Suleyman ^{[3
]}

机构：

[1] Sakarya Univ Technol Developing Zones Manager Co, Sakarya, Turkiye

[2] Fatsa Vocat Sch Accounting & Tax Applicat, Ordu, Turkiye

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

来源：

HONAM MATHEMATICAL JOURNAL | 2024年 / 46卷 / 02期

关键词：

Smarandache curve; spatial quaternion; quaternionic curve; ruled surface;

D O I：

10.5831/HMJ.2024.46.2.209

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the spatial quaternionic expressions of the ruled surfaces whose base curves are formed by the Smarandache curve. Moreover, we formulate the striction curves and dralls of these surfaces. If the quaternionic Smarandache ruled surfaces are closed, the pitches and angle of pitches are interpreted. Finally, we calculate the integral invariants of these surfaces using quaternionic formulas.

引用

页码：209 / 223

页数：15

共 16 条

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Bharathi K., 1985, Indian J. Pure Appl. Math., V16, P741

[2]

Caliskan A., 2022, Palest. J. Math, V11, P406

[3]

CETIN M., 2013, Int. J. Contemp. Math. Sciences, V8, P139, DOI DOI 10.12988/IJCMS.2013.13014

[4]

Chen JY, 2005, ANN SCUOLA NORM-SCI, V4, P375