Abstract
In this paper, we study inextensible flows of curves according to type-2 Bishop frame in Euclidean 3-space. Necessary and sufficient conditions for an inextensible curve flow are expressed as a partial differential equation involving the curvature.
Highlights
The flow of a curve is called to be inextensible if the arc-length of a curve is preserved
The kinetic energy is not conserved in the collision; the momentum is conserved
The swinging motion of a cord of fixed length, for example can be described by inextensible curve flows
Summary
Abstract-In this paper, we study inextensible flows of curves according to type-2 Bishop frame in Euclidean 3-space.
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