Beltrami-Meusnier formulas of generalized semi ruled surfaces in semi Euclidean space

Abstract

In this paper, we study the sectional curvatures of the generalized semi ruled surfaces in semi Euclidean space E-v(n+1). The first fundamental form and the metric coefficients of the generalized semi ruled surfaces are calculated and in these regards, Riemannian-Christoffel curvatures are obtained by the help of Christoffel Symbols. So, the curvatures of arbitrary non-degenerate tangential sections of the generalized semi ruled surface are investigated. In addition to this, the relations between the sectional curvatures are obtained. These are called semi Euclidean Beltrami-Meusnier formulas.