Attila Bölcskei, Brigitta Szilágyi
Abstract
In this paper we deal with one of the homogeneous 3- geometries, the Sol geometry. The Frenet frame and the curvature and torsion of a curve has been determined, moreover, we have computed the parametric form of geodesics, their curvatures and torsions in Theorem 4.1.
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In this paper we deal with one of the homogeneous 3- geometries, the Sol geometry. The Frenet frame and the curvature and torsion of a curve has been determined, moreover, we have computed the parametric form of geodesics, their curvatures and torsions in Theorem 4.1.
Key concepts: Frenet–Serret formulas, Geodesic, Torsion of a curve, Torsion (gastropod), Curvature, Mathematics, Differential geometry, Geometry