COMPLEX TORSIONS AND HOLOMORPHIC HELICES

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

References

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9. Ankara University, Faculty of Sciences, Department of Mathematics, 06100 Tando˘gan, Ankara, TURKEY E-mail address: [e-mail]
10. Aksaray University, Faculty of Sciences and Letters, Department of Mathematics, 68100 Aksaray, TURKEY E-mail address: [e-mail],
11. Karamano˘glu Mehmetbey University, Faculty of Sciences, Department of Mathe- matics, 70100 Karaman, TURKEY E-mail address: [e-mail]