四元数射影空间中常数量曲率的完备全实伪脐子流形

J4 ›› 2011, Vol. 49 ›› Issue (05): 865-869.

四元数射影空间中常数量曲率的完备全实伪脐子流形

朱静勇, 宋卫东

安徽师范大学数学计算机科学学院, 安徽芜湖 241000

收稿日期:2010-10-20 出版日期:2011-09-26 发布日期:2011-09-27
通讯作者: 宋卫东 E-mail:swd56@163.com

Complete Totally Real Pseudoumbilical Submanifolds withConstant Scalar Curvature in a Quaternion Projective Space

ZHU Jingyong, SONG Weidong

College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui Province, China

Received:2010-10-20 Online:2011-09-26 Published:2011-09-27
Contact: SONG Weidong E-mail:swd56@163.com

摘要/Abstract

摘要：

利用广义极大值原理和自伴随微分算子研究四元数射影空间中常数量曲率完备全实伪脐子流形的Pinching问题, 得到了两个该流形成为全测地或全脐的刚性定理.

关键词: 四元数射影空间；常数量曲率；伪脐

Abstract:

The authors studied the Pinching problem on submanifolds with constant scalar curvature in a quaternion projective space by means of the generalized maximal principle and selfadjoint differential operator, and obtained two rigidity theorems for submanifolds to be totally geodesic or totally umblilic.

Key words: quaternion projective space, constant scalar curvature, pseudoumbilical

中图分类号:

O186.13

朱静勇, 宋卫东. 四元数射影空间中常数量曲率的完备全实伪脐子流形[J]. J4, 2011, 49(05): 865-869.

SHU Jing-Yong, SONG Wei-Dong. Complete Totally Real Pseudoumbilical Submanifolds withConstant Scalar Curvature in a Quaternion Projective Space[J]. J4, 2011, 49(05): 865-869.