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

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International Electronic Journal of Geometry
Volume:16 Issue:1
The Flow-geodesic Curvature and the Flow-evolute of Hyperbolic Plane Curves

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

Authors : Mircea CRASMAREANU

Pages : 225-231

Doi:10.36890/iejg.1229215

View : 77 | Download : 13

Publication Date : 2023-04-30

Article Type : Research Paper

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 evolute, flow geodesic curvature, flow geodesic curvature, flow evolute, flow evolute

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