J4 ›› 2011, Vol. 49 ›› Issue (02): 169-172.

• 数学 • 上一篇    下一篇

拟常全纯截面曲率空间中的全实极小子流形

徐茂, 宋卫东   

  1. 安徽师范大学 数学计算机科学学院, 安徽 芜湖 241000
  • 收稿日期:2009-12-25 出版日期:2011-03-26 发布日期:2011-06-14
  • 通讯作者: 宋卫东 E-mail:swd56@sina.com

Totally Real Minimal Submanifolds in |QuasiconstantHolomorphic Sectional Curvature Space

XU Mao, SONG Weidong   

  1. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui Province, China
  • Received:2009-12-25 Online:2011-03-26 Published:2011-06-14
  • Contact: SONG Weidong E-mail:swd56@sina.com

摘要:

用活动标架法研究拟常全纯截面曲率空间中的全实极小子流形, 得到了关于第二基本形式模长‖B‖的Smions型积分不等式.

关键词: 拟常全纯截面曲率空间, 全实极小子流形, 积分不等式, 全测地

Abstract:

Having studied the totally real minimal submanifolds in the quasiconstant holomorphic sectional curvature space by means of the method of moving frames, we got an integral inequality of Simons type and a conlusion.

Key words: quasiconstant holomorphic sectional curvature space, totally real minimal submanifolds, integral inequality, totally geodesic

中图分类号: 

  • O186.12