Hypersurfaces at Lorentz space

This thesis which is the aim working on differantial geometry of surfaces on which Lorentz spaces. This thesis takes part from five parts.In the first part, Gauss curvature, hypersurface, partial derivate, mean curvature, figure operatör,and Taylor Formula were introduced.In the second part, symetric bilinear form at Lorentz space, scaler product space, Minkowski space time, semi-Riemann manifold, Lorentz space with two dimmension and somedefinations and theorem connected with hyperbolic raidon were given.In the third part, basic quadratic forms, curvilinear length in any point of surface, unit normal vektör of which first degree partial derivatives, connected with Weingarten and Olinde-Rodrigues formulas same basic defination and theorems were given.In the fourth part, basic formulas at Lorentz spaces, Weingarten and Olinde-Rodrigues formulas were given.In the fifth part, it includes of our original work.Keywords:Gauss curvature, hypersurface, partial derivate, mean curvature, formulas of Olinde-Rodrigues, figure operatör, Taylor Formula, Weingarten formulas