If both the arc length and the intrinsic curvature of a curve or surface are preserved, then the
flow of the curve or surface is said to be inextensible. The absence of motion-induced strain …

In this study, firstly by considering the evolution of a moving space curve, we give some
related definitions and some new results about Hasimoto surfaces in Euclidean 3-spaces …

In this paper we define a new family of ruled surfaces using an othonormal Sannia frame
defined on a base consisting of the striction curve of the tangent, the principal normal, the …

The paper introduces a set of new ruled surfaces such that the base curve is taken to be the
striction curve of N, C and W ruled surfaces from the alternative frame, and the generating …

This paper presents a quaternionic approach to generating and characterizing the ruled
surface drawn by the unit Darboux vector. The study derives the Darboux frame of the …

In this paper, we investigate inextensible flows of quaternionic curve according to type 2-
quaternionic frame. We give necessary and sufficient conditions for inextensible flow of …

In this study, firstly, each natural lift curve of the main curve is corresponded to the ruled
surface by exploiting E. Study mapping and the relation among the subset of the tangent …

In this paper, we investigate the inextensible flows of polynomial space curves in R3. We
calculate that the necessary and sufficient conditions for an inextensible curve flow are …

In this paper, we investigate the inextensible flows of polynomial space curves in R³. We
calculate that the necessary and sufficient conditions for an inextensible curve flow are …

In this paper, we investigate inextensible flows of quaternionic curve according to Type 2-
Quaternionic frame. We give necessary and sufficient conditions for inextensible flow of …