局部对称仿射超曲面  

^Locally Symmetric Affine Hypersurfaces

作　　者：张廷枋 

机构地区：[1]南平师专数学系

出　　处：《数学研究》1995年第3期74-80,共7页Journal of Mathematical Study

摘　　要：本文用活动标架法证明了：仿射空间Ａｎ＋１中维数ｎ大于２的非退化超曲面Ｍｎ，相对于诱导的仿射连络局部对称，当且仅当Ｍ是虚（ｉｍｐｒｏｐｅｒ）仿射球或者是非退化的二次超曲面．Using the method of Moving frames this paper has proved P.Verheyen and L.Verstraelen's Theorem on the locally symmetric affine hypersufaces: Let M be a nondegenerate of An+1 with n>2.Then M is affine locally symmetric w. r. t the induced connection if and only if M is an improper affine hypersphere or a nondegenerate quadratic gypersurface.

关 键 词：局部对称仿射超曲面 活动标架法 非退化超曲面 虚仿射球 Blaschke浸入 

分 类 号：O186.1[理学—数学]