Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 48, No. 2, pp. 411-421 (2007)

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Frenet formulas and geodesics in Sol geometry

Attila Bölcskei and Brigitta Szilágyi

Szent István University, Ybl Miklós College, Department of Representation and Informatics, H-1146 Budapest XIV. Thököly I. u. 74, e-mail: bolcskei.attila@ymmfk.szie.hu; Budapest University of Technology and Economics, Department of Geometry, H-1521 Budapest XI. Egry J. u. 1, H.II.22, e-mail: szilagyi@math.bme.hu

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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Electronic version published on: 7 Sep 2007. This page was last modified: 28 Jun 2010.

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