Quasi-constant curvature manifolds

The aim of this thesis is to study some curvature conditions on the quasi-constant manifolds.This thesis has three chapters.In the first chapter we introduce basic definitions, such as, Riemannian curvature tensor,Einstein manifold, the concirculer curvature tensor, the projectif curvature tensor and almost contact metric manifolds.In the second chapter, in a quasi-constant curvature manifold Riemann curvature tensor, projectif curvature tensor and concirculer curvature tensor are given.In the third chapter, we classify quasi-constant manifolds which satisfy , and .Key Words: Almost contact metric manifold, Einstein Manifold, Riemannian curvature tensor, Projectif curvature tensor, Concirculer curvature tensor, Quasi-Constant curvature manifolds.