Symmetry in Complex Sasakian Manifolds

Abstract

In this paper, we give some results on complex Sasakian manifolds. In addition, we introduce a complex $\eta -$Einstein Sasakian manifold. We study on conformal curvature tensor, concircular curvature tensor, projective curvature tensor and conharmonic curvature tensor on complex Sasakian manifolds. Moreover, we examine such manifolds under the symmetry conditions with related to special curvature tensors like as conformal curvature tensor, concircular curvature tensor, projective curvature tensor and conharmonic curvature tensor. Furthermore, we present some properties of these curvature tensors for a complex Sasakian manifold.

Keywords

• complex contact manifolds
• complex Sasakian manifolds
• symmetry conditions

References

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