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

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.

Keywords

• lorentz plane
• spacelike curve
• flow-frame
• flow-curvature