This article introduces new geometric flow for space curves with positive curvature and
torsion. Curves evolving according to this motion law trace out a zero mean curvature …

This work introduces the framed curvature flow, a generalization of both the curve shortening
flow and the vortex filament equation. Here, the magnitude of the velocity vector is still …

We show that under Space Curve Shortening flow any closed immersed curve in $\mathbb
R^ n $ whose projection onto $\mathbb {R}^ 2\times\{\vec {0}\} $ is convex remains smooth …

Space curve motion describes dynamics of material defects or interfaces and can be found
in image processing or vortex dynamics. This article analyzes some properties of space …

CURVATURE-TORSION ENTROPY FOR TWISTED CURVES UNDER CURVE SHORTENING
FLOW Page 1 Bull. Aust. Math. Soc. (First published online 2023), page 1 of 10 ∗ …

This article aims to contribute to the understanding of the curvature flow of curves in a higher-
dimensional space. Evolution of curves in Rm by their curvature is compared to the motion of …

This work introduces the framed curvature flow, a generalization of both the curve shortening
flow and the vortex filament equation. Here, the magnitude of the velocity vector is still …

This article aims to contribute to the understanding of the curvature flow of curves in a higher-
dimensional space. Evolution of curves in RmRm by their curvature is compared to the …