COMPLEX TORSIONS AND HOLOMORPHIC HELICES

Authors : Pelin Pospos, FNejatEkmekçi, PınarDeniz

Pages : 8-16

View : 18 | Download : 13

Publication Date : 2013-06-01

Article Type : Research Paper

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