On the sectional curvatures of generalized semi ruled surfaces in (n+1)-dimensional semi Euclidean space, E_v^(n+1)

This study consists of four parts. The first part is an introduction devoted to the literature knowledge. In the second part of this study fundamental definitions and theorems related to semi Euclidean space, semi Riemannian manifold, curvatures and sectional curvature are given. Moreover, in semi Euclidean space semi ruled surfaces are introduced.The third part is original part of this study. In this part the sectional curvatures of generalized semi ruled surfaces in dimensional semi Euclidean space are investigated. Therefore, type I and type II semi Euclidean Beltrami Euler formula, semi Euclidean Lamarle formula and semi Euclidean Beltrami Meusnier formula of semi ruled surfaces are obtained.In the forth chapter of this thesis, a brief summary of the study is given and a suggestion is proposed for investigations on the realm of sectional curvature of semi ruled surface.