The flow-curvature of spacelike parametrized curves in the Lorentz plane

Author:

Crasmareanu MirceaORCID

Abstract

We introduce and study a new frame and a new curvature function for a fixed parametrization of a spacelike curve in the Lorentz plane. This new frame is called flow-frame since it involves the time-dependent rotation of the usual Frenet flow.

Publisher

Odesa National University of Technology

Subject

Applied Mathematics,Geometry and Topology,Analysis

Reference17 articles.

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Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Differential Equations of Spacelike Parametrized Curves in the Lorentz Plane;Turkish Journal of Mathematics and Computer Science;2024-06-30

2. The flow-curvature of plane parametrized curves;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2023-06-23

3. The Flow-geodesic Curvature and the Flow-evolute of Hyperbolic Plane Curves;International Electronic Journal of Geometry;2023-04-30

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