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Ruled surfaces generated by Salkowski curve and its Frenet vectors in Euclidean 3-space

Ebru Çakıl|Sümeyye Gür Mazlum
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2024.06|한국수학논문집 (Korean Journal of Mathematics)|제32권 제2호|pp. 259-284

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키워드

ruled surfaceSalkowski curvesdistribution parameterstriction curvetangent planeasymptotic plane.
주제분류수학

초록

In present study, we introduce ruled surfaces whose base curve is the Salkowski curve in Euclidean 3-space and whose generating lines consist of the Frenet vectors of this curve (tangent, principal normal and binormal vectors). Then, we produce regular surfaces from a vector with real coefficients, which is a linear combination of these vectors, and we examine some special cases for these surfaces. Moreover, we present some geometric properties and graphics of all these surfaces.

Abstract

In present study, we introduce ruled surfaces whose base curve is the Salkowski curve in Euclidean 3-space and whose generating lines consist of the Frenet vectors of this curve (tangent, principal normal and binormal vectors). Then, we produce regular surfaces from a vector with real coefficients, which is a linear combination of these vectors, and we examine some special cases for these surfaces. Moreover, we present some geometric properties and graphics of all these surfaces.

참고문헌 (29)

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