摘要
给出了拟复射影空间中具有平坦法丛的全实子流形的一个积分不等式,并且证明了全实子流形的脐性法向量场的一个性质.此外,还证明了拟复射影空间的全实全脐子流形在一定条件下不是法丛平坦的.
The integral inequality of totally real submanifolds with flat normal bundle in quasi-complex projective space is given and one of the properties of any umbilical normal vector field of totally real submanifolds is proved.Moreover,it is determined that the totally real totally umbilical submanifolds in a quasi-complex projective space is not flat normal bundle under certain conditions.
作者
刘金梦
宋卫东
Liu Jinmeng;Song Weidong(School of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China)
出处
《宁夏大学学报（自然科学版）》
CAS
2018年第2期108-110,114,共4页
Journal of Ningxia University(Natural Science Edition)
基金
国家自然科学基金资助项目(11371032)
安徽省自然科学基金资助项目(1608085MA03)
关键词
拟复射影空间
全实子流形
法丛平坦
quasi-complex projective space
totally real submanifolds
flat normal bundle
