ON TOTALLY REAL MINIMAL SUBMANIFOLDS IN COMPLEX PROJECTIVE SPACE

被引:0
作者
Chao, Xiaoli [1 ,2 ]
Li, Yaowen [3 ]
机构
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Dept Math, Nanjing 210097, Jiangsu, Peoples R China
[3] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
来源
ARCHIVUM MATHEMATICUM | 2005年 / 41卷 / 01期
基金
中国国家自然科学基金;
关键词
totally real submanifolds; pinching; totally geodesic;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we obtain some pinching theorems for totally real minimal submanifolds in complex projective space.
引用
收藏
页码:107 / 116
页数:10
相关论文
共 15 条
[1]   TOTALLY REAL SUBMANIFOLDS [J].
CHEN, BY ;
OGIUE, K .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 193 (JUN) :257-266
[2]  
Li Y. W, 2001, PREPRINT
[3]   Curvature pinching for totally real submanifolds of a complex projective space [J].
Matsuyama, Y .
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2000, 52 (01) :51-64
[4]  
Matsuyama Y., 2002, NIHONKAI MATH J, V13, P153
[5]   CURVATURE PINCHING AND EIGENVALUE RIGIDITY FOR MINIMAL SUBMANIFOLDS [J].
MONTIEL, S ;
ROS, A ;
URBANO, F .
MATHEMATISCHE ZEITSCHRIFT, 1986, 191 (04) :537-548
[6]  
Ogiue K., 1987, MATH PUBLICATION MAT, V39, P51
[7]   ON SPECTRAL GEOMETRY OF KAEHLER SUBMANIFOLDS [J].
ROS, A .
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1984, 36 (03) :433-448
[9]   EIGENVALUE INEQUALITIES FOR MINIMAL SUBMANIFOLDS AND P-MANIFOLDS [J].
ROS, A .
MATHEMATISCHE ZEITSCHRIFT, 1984, 187 (03) :393-404
[10]  
Shen Y. B., 1991, CHIN ANN MATH A, V12, P573