Pseudo-kompleks lie gruplarinin eğrilikleri üzerine

This thesis consist of six chapters.The first chapter has been devoted to the introduction.In the second chapter; fundamental definitions and theorems of Lie groups, Lie algebras and the theory of the complex manifolds are given.In the third chapter is constructed that generalized Lorentzian Heisenberg group. After, it is studied that comutator curves in terms of exponential maps in the generalized Lorentzian Heisenberg group.The fourth and fifth chapters contain original part of our study.In the fourth chapter; Lie group H_{2n+1}×S¹ is constructed by generalized Lorentzian Heisenberg group. Moreover, it is studied that comutator curves in terms of exponential maps in the H_{2n+1}×S¹.In the fifth chapter; we construct almost pseudo-complex manifold M²??² which is also pseudo-complex Lie group. Then, express and prove some new relations about scalar curvatures, holomorphic sectional curvatures and Riemannian curvatures of this manifold. Finally, it is studied that comutator curves in terms of exponential maps in the M²??².The sixth chapter has been devoted to the conclusion.