A New Version of Inextensible Flows of Spacelike Curves with Timelike $$\mathbf{B }_{2}$$ in Minkowski Space-Time $$\mathbb E _{1}^{4}$$

A New Method for Inextensible Flows of Timelike Curves in Minkowski Space-Time E14

“…The swinging motion of a cord of fixed length or, for example, of a piece of paper carried by the wind, can be described by inextensible curve and surface flows. Such motions arise quite naturally in a wide range of physical applications [8,11,12]. Let ( , ) be a one parameter family of smooth timelike curves in E 4 .…”

“…Then, they derived the corresponding equations for the inextensible flow of a developable surface and showed that it suffices to describe its evolution in terms of two inextensible curve flows [8]. Additionally, there are many works related with inextensible flows [1,[8][9][10][11][12][13][14][15].…”

“…Now, various geometric flows have become one of the central topics in geometric analysis. Many authors have studied geometric flow problems [1,12,16,17].…”

On new characterization of inextensible flows of space-like curves in de Sitter space

“…Then, they derived the corresponding equations for the inextensible flow of a developable surface, and showed that it suffices to describe its evolution in terms of two inextensible curve flows, [15]. Flows of curves of a given curve are also widely studied, [8][9][10][11][12][13][14].…”

A New Method for Designing Inextensible Flows of Spacelike Curves in 4-Dimensional LP-Sasakian Manifolds

“…Also, the biharmonic curves in the Heisenberg group are investigated in [13][14][15][16][27][28][29].…”