Ricci curvature tensor of (K+1)-rulad surface in En.

Abstract

If we choose a natural companian basis (naturliche begleitbasis) for (k-|-l)-ruled surface in the Euclidean space E”, then the metric coefficients are ~ 1 < V, (t < k. The Ricci curvature tensor S for a manifold is defined by S(X,Y) - L R (ep X, Y, e^. n i. In this paper we show that the Ricci curvature tensor of a (k-pl) - ruled surface in E' S = v,pt=‘ ^i-ı ^ioR'^ov,] 0v 0 Ou. ıs- Here, -lOv} is the duaî hasis of the local cocrdinate hasis {evj-.