Contact structures on indefinite Finsler manifolds

This thesis consists of seven parts. The first chapter is devoted to literature review and place of the thesis in the literature. In the second chapter, contact pseudo metric, Lorentzian and Kenmotsu pseudo metric structures on Riemannian manifolds are mentioned. In the third chapter, indefinite Finsler manifolds are remarked. Our original results are contained in the fourth, fifth and sixth chapters. In the fourth chapter, (almost) contact and "Epsilon"-Sasakian structures are constructed on indefinite Finsler manifolds with pseudo metric. In the fifth chapter, contact Lorentzian structures are established on indefinite Finsler manifolds and some important integrability(normality) conditions are given. Also, Sasakian Lorentzian structures are presented and curvatures of these structures are calculated. In the sixth chapter, (almost) Kenmotsu structures are set up on indefinite Finsler manifolds with pseudo Finsler metric. Then, significant integrability(normality) conditions are found for these structures. Moreover, curvatures of Kenmotsu Finsler manifolds are calculated. The last chapter is dedicated to discussion and conclusion. Keywords: Indefinite Finsler manifold, Indefinite Finsler metric, Tangent bundle, Contact manifold, Lorentz manifold, Kenmotsu manifold, Riemann curvature tensor, Ricci tensor.