常曲率空间的半平行超曲面和高阶平行超曲面的分类  

THE CLASSIFICATION OF THE SEMI-PARALLEL HYPERSURFACES AND THE HYPERSURFACES WITH PARALLEL HIGHER ORDER FUNDAMENTAL FORM IN A RIEMANNIAN MANIFOLD OF CONSTANT CURVATURE

作　　者：张廷枋 

机构地区：[1]福建南平师范专科学校

出　　处：《数学杂志》1996年第1期16-24,共9页Journal of Mathematics

摘　　要：本文给出了非欧氏常曲率空间Ｎｎ＋１（ｃ）（ｃ≠０）（ｎ＞２）的半平行超曲面的分类，并利用此分类定理证明了非欧氏常曲率空间的高阶平行超曲面与平行超曲面的等价性，从而也给出了非欧氏常曲率空间的高阶平行超曲面的分类．Abstract In this paper, we get the classification of the semi-parallel hypersurfaces in a Riemannian manifold Nn+1 (c) of constant curvature c(c≠0),(n>2).By use the clas sification, we obtain the equivalence between the hypersurfaces with parallel higher order fundamental form and the hypersurfaces with parallel second order fundamental form in Nn+1 (c) (c≠0).

关 键 词：常曲率空间 超曲面 分类 平行超曲面 

分 类 号：O186.11[理学—数学]