Curvature Properties of Normal Complex Contact metric Manifolds

2015/10/13 by Aysel Turgut Vanli, Vanli, Aysel Turgut, Inan Unal +1
Mathematics · #53C15 #53C25 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C15 #msc:53C25

paper · pdf · doi:10.48550/arxiv.1510.05916

arxiv created 2015/10/13 · arxiv updated 2015/10/21

Abstract

In this paper, we study normal complex contact metric manifolds and we get some general results on them. Moreover, we obtained the general expression of the curvature tensor field for arbitrary vector fields. Furthermore, we show that the necessary and succient conditions to be normal a complex contact metric manifold. Also, we give some new equailities for Ricci curvature of normal complex contact metric manifolds.

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