COMPLEX TORSIONS AND HOLOMORPHIC HELICES

Year 2013, Volume: 1 Issue: 1, 8 - 16, 01.06.2013

Pelin Pospos F.NejatEkmekçi PınarDeniz

https://izlik.org/JA45RW29YS

Abstract

Recently, properties of holomorphic helix of Kahler Frenet curveson n- dimensional M Kahler manifold studied by S. Maeda, H. Tanabe andT. Adachi. In this paper we give some characterizasions for complex torsionsby τi,jin the Kahler manifold to be general helix, and by considering κ1, κ2curvatures of order 3.Curvatures of Frenet curve on M Kahler manifoldare not constant but their ratios are constant. We investigate relationshipbetween τ1,2and τ2,3complex torsions which are not seperately constant buttheir ratios are constant

Keywords

complex torsions , holomorphic helices , kahler manifolds

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