Surfaces in Lorentz Heisenberg group

This thesis consist of six chapters. The first chapter has been devoted to the introduction. In the second chapter; fundamental definitions and theorems of Lorentz space and surfaces are given. In the third chapter theorems of Lorentz Heisenberg group are given. The fourth chapter contains original part of our study; some characterizations of surfaces in Lorentz Heisenberg group are given. Then, conditions for these surfaces of being minimal (maximal) surfaces are obtained. The fifth chapter contains another original part of our study; Surfaces which are obtain with two variable functions are given and conditions for these surfaces of being minimal (maximal) surfaces are obtained. Also, generated by two curves has been constructed and some characterizations have been given. The sixth chapter has been devoted to the conclusion.