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Journals / International Electronic Journal of Geometry / 2023 / Cilt: 16 Sayı: 1

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

Mircea CRASMAREANU

Pages
225–231
DOI
—

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