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《Journal of Anhui Normal University(Natural Science)》 1995-02
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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
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