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

Authors : Arif SABUNCUOĞLU

Pages : 0-0

Doi:10.1501/Commua1_0000000551

View : 11 | Download : 7

Publication Date : 1988-01-01

Article Type : Research Paper

Abstract :If we choose a natural companian basis insert ignore into journalissuearticles values(naturliche begleitbasis); for insert ignore into journalissuearticles values(k-|-l);-ruled surface in the Euclidean space E”, then the metric coefficients are ~ 1 < V, insert ignore into journalissuearticles values(t < k. The Ricci curvature tensor S for a manifold is defined by Sinsert ignore into journalissuearticles values(X,Y); - L R insert ignore into journalissuearticles values(ep X, Y, e^. n i. In this paper we show that the Ricci curvature tensor of a insert ignore into journalissuearticles values(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-.
Keywords : Ricci curvature, tensor, surface in En