(k ,m) -değme metrik manifoldlar

Abstract

(k,u) -CONTACT METRIC MANIFOLDS. Erhan KÜÇÜK Mathematics, MSc Thesis, 2005 Thesis Adviser: Yrd.Doç. Dr.Ahmet YILDIZ SUMMARY The thesis has three chapters In the first chapter we give some basic notions and definitions which will be used in the next chapters. In the second chapter we denote (k,u) -Nullity distribution and give some curvature, conditions (k,u) -Nullity distribition.After,if u = 0 then N(k)-Contact Metric Manifolds is defined. İn the third chapter we find some characterization of K conharmonical curvature tensor on N(k)- Contact Metric Manifolds. Keywords: Almost Contact Metric Manifolds.Conharmonical Curvature Tensor.Einstein manifold, K-Contact Manifold, N(k)-Contnct Manifold, (k,u) -Nullity Distribition, Pseudo- Symmetric Manifold,Riemannian Curvature Tensor, Weyl-Conformal tensor,

(k,u) -CONTACT METRIC MANIFOLDS. Erhan KÜÇÜK Mathematics, MSc Thesis, 2005 Thesis Adviser: Yrd.Doç. Dr.Ahmet YILDIZ SUMMARY The thesis has three chapters In the first chapter we give some basic notions and definitions which will be used in the next chapters. In the second chapter we denote (k,u) -Nullity distribution and give some curvature, conditions (k,u) -Nullity distribition.After,if u = 0 then N(k)-Contact Metric Manifolds is defined. İn the third chapter we find some characterization of K conharmonical curvature tensor on N(k)- Contact Metric Manifolds. Keywords: Almost Contact Metric Manifolds.Conharmonical Curvature Tensor.Einstein manifold, K-Contact Manifold, N(k)-Contnct Manifold, (k,u) -Nullity Distribition, Pseudo- Symmetric Manifold,Riemannian Curvature Tensor, Weyl-Conformal tensor,