(k, µ)-paracontact metric manifold and on the geometry of submanifolds

In this thesis, firstly Riemannian curvature, projectif curvature, concircular curvature and quasi-conformal curvature tensors of (k, µ)-paracontact metric manifold on each other impact were analyzed in detail. Also, basic definition, theorem and results about pseudoparallel invariant submanifold and pseudoparallel, Ricci-pseudoparallel and 2-Ricci-pseudoparallel submanifolds of a (k, µ)-paracontact metric manifold were emphasized. In addition, the properties of geometry of invariant pseudoparallel, Ricci-pseudoparallel, 2-Ricci-pseudoparallel, 2-Ricci generalized pseudoparallel of a (k, µ)-paracontact metric manifold were searched.