On Totally Quasi-Umbilical Submanifolds
Su Guohan; Zhao peibiao( Department of Mathemetics)( Anhui Institute of Finance & Trade)
In this paper Some original characteristic and the algebraic character of thetotally Umbilical Submanifald in Riemannian manifold are given We also search after therelatiOns between Quasi-Einstein manifolds and generalized quasi-Einstein manifoldwith them. In the light of it,a necessary and sufficient conditiOn for a totally umbilicalsubmanifold to be conformally flat is given,Moreover,we studied the generalized total-ly quasiumbilical submanifolds and gave two theorems The generalized totally quasi一umbilical supersurpaee in Euclidear spaces is totally geodesic;The generalized totallyquasi-umbilical submanifold in hyperbolic spaces in also totally geodesic.
【CateGory Index】： O186.12