Sasakian finsler manifolds

This thesis consists of four chapters. In the first chapter the definitions which are necessory for our study are given.In the second chapter, Finsler metric is defined and information about Finsler space is given. In addition, such as jeodesics, horizontal and vertical disintegration, Finsler connection, covariant derivative operator, Sasaki metric and almost complex structure, definitions given in Finsler space.In the third chapter, almost contact metric manifolds and torsion tensor are defined, the basic information about Sasakian manifolds is given. In addition, in this chapter Killing vector field, second fundamental form, Riemannion curvature tensor are defined and the necessary formulas are given.In the fourth chapter, almost contact Finsler manifolds, almost contact Finsler manifold on Finsler h-connection and almost Sasakian Finsler manifold are defined. Then, the normal condition of almost contact Finsler structure is wanted for the zero torsion tensor almost contact Finsler h-connection. Finally, some results related to Killing vector field are abtained.Key Words : Finsler connection, Finsler structure, Almost contact metric manifold, Almost complex structure, Killing vector field, K-contact manifold, Sasakian metric.