Chinese Quarterly Journal of Mathematics ›› 2000, Vol. 15 ›› Issue (4): 38-42.

Previous Articles     Next Articles

On Totally Umbilical Submanifolds in a 〜C Recurrent Space 

  

  1.  南京理工大学应用数学系 江苏南京210094,安徽财贸学院金融系 安徽蚌埠230041,河南大学数学系 河南开封475001 
  • Received:1999-04-14 Online:2000-12-30 Published:2024-06-28
  • About author:ZHAO Pei-biao(1964-),male,native of Huaiyuan,Anhui,an associate professor of Anhui Institute of Finance and Trade‚Doctor‚engages in nonlinear analysis‚differential geometry‚etc;SONG Hong-zao(1944-),male,native of Jiangyan,Jiangsu,a professor of Henan University,engages in differential geometry.

Abstract: 本文讨论 C循环空间中的全脐子流形 ,证明了该子流形成为射影平坦或共圆平坦的充分必要条件是它又是爱因斯坦空间 ,这一结果推广了 [1 ,2 ]中的相应结论.

Key words: 子流形, 循环空间, 全脐,  ,

CLC Number: