On the curvatures of (k+1)-dimensional semi-ruled surfaces in $E^{n+1}_v$

Abstract

In this paper, first we will define the generalized (k +1) -dimensional semi-ruled surface M*, such that the generator space of M*is the semi-subspace of $E^{n+1}_v$ where $E^{n+1}_v$ is the semi-Euclidean space. Then, we will compute the mean curvature, Riemann curvature, Ricci curvature and scalar curvature of M*.