The Flow-geodesic Curvature and the Flow-evolute of Hyperbolic Plane Curves

Year 2023, Volume: 16 Issue: 1, 225 - 231, 30.04.2023

Mircea Crasmareanu

https://doi.org/10.36890/iejg.1229215

Cited By: 1

Abstract

We introduce a new type of curvature function and associated evolute curve for a given curve in the hyperboloid model of plane hyperbolic geometry. A special attention is devoted to the examples, particularly to a horocycle provided by the null Lorentzian rotation.

Keywords

Hyperbolic plane curve, flow-geodesic curvature, flow-geodesic curvature, flow-geodesic curvature, flow-geodesic curvature, flow-evolute, flow-evolute, flow-evolute, flow-evolute

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