Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 19 (2024), 127 -- 142

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SPECIAL CANAL SURFACES WITH BISHOP FRAME AND QUATERNIONS

Abdussamet Çalışkan

Abstract. The purpose of this paper is to show that canal and tubular surfaces can be obtained by special curves. Also, we reckon the equations of these surfaces with Bishop frame and acquire some corollaries for special curves. Besides, these surfaces are acquired by quaternion and homothetic motion.

2020 Mathematics Subject Classification: 11R52;53A05
Keywords: Canal Surface; Bertrand curve; Involute-Evolute curve; Mannheim Curve; Quaternion; Rotation matrices; Homothetic motion.

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Abdussamet Çalışkan
Ordu University,
Evkaf Street, Fatsa Vocational School,
Accounting and Tax Applications,
Ordu, Turkey.
e-mail: a.caliskan@odu.edu.tr

http://www.utgjiu.ro/math/sma