Real hypersurfaces of CPn with non-negative Ricci curvature

被引:9
作者
Bejancu, A [1 ]
Deshmukh, S [1 ]
机构
[1] KING SAUD UNIV,DEPT MATH,RIYADH 11451,SAUDI ARABIA
关键词
real hypersurface; CR-submanifold; complex projective space; Levi flat; totally real Ricci curvature; holomorphic distribution;
D O I
10.1090/S0002-9939-96-02886-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the non-existence of Levi flat compact real hypersurfaces without boundary in CPn, n > 1, with non-negative totally real Ricci curvature.
引用
收藏
页码:269 / 274
页数:6
相关论文
共 7 条
[1]  
Bejancu A., 1986, Geometry of CR-Submanifolds
[2]  
Blair D, 1976, LECT NOTES MATH, P509
[3]  
Boggess A., 1991, CR MANIFOLDS TANGENT
[4]  
KOBAYASHI S, 1969, F DIFFERENTIAL GEOME, V2
[5]   REAL HYPERSURFACES OF A COMPLEX PROJECTIVE SPACE [J].
MAEDA, Y .
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1976, 28 (03) :529-540
[6]   SOME REAL HYPERSURFACES OF A COMPLEX PROJECTIVE SPACE [J].
OKUMURA, M .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 212 (OCT) :355-364
[7]  
Yano K., 1970, Integral Formulas in Riemannian Geometry