ON MEUSNIER THEOREM FOR PARALLEL SURFACES

Year 2017, Volume: 66 Issue: 1, 187 - 198, 01.02.2017

Ziya Ümit Savcı Ali Görgülü Cumali Ekici

https://doi.org/10.1501/Commua1_0000000788

Cited By: 1

Abstract

In this paper, the geodesic curvature, the normal curvature, thegeodesic torsion and the curvature of the image curve on a parallel surfaceof a given curve on a surface are obtained. Moreover, Meusnier theorem forparallel surfaces are discussed

Keywords

Parallel surface, geodesic curvature, normal curvature, geodesic torsion, Meusnier theorem

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• Current address : ÜM ·IT Z·IYA SAVCI: Celal Bayar University, Department of Mathematics Education , 45900, Manisa, TURKEY