Ricci-recurrent trans-sasakian indefinite finsler manifolds

This thesis consists of 4 chapters. In the first part of our study, a literature review was included and the place of the thesis in the literature was stated. In the second part, almost contact pseudo-metric structures were defined on semi-Riemann manifolds. In the third chapter, contact structures on indefinite Finsler manifolds, almost contact Finsler structures, almost contact pseudo-metric structures, integrable tensor fields of contact structures and ε-Sasakian structures were examined. In the fourth chapter, after defining (α,β)-type trans-Sasakian indefinite Finsler manifolds and special cases of these manifolds, α-Sasakian and β-Kenmotsu indefinite Finsler manifolds, our original work, generalized Ricci-recurrent trans-Sasakian indefinite Finsler manifolds, was studied. Finally, generalized Ricci-recurrent trans-Sasakian indefinite Finsler manifolds with cyclic-ricci tensor were examined. The last section is divided into discussion and conclusion.