A characterization of type A real hypersurfaces in complex projective space

被引:6
作者
De Dios Perez, Juan [1 ]
Suh, Young Jin [2 ]
机构
[1] Univ Granada, Fac Ciencias, Dept Geometria & Topol, E-18071 Granada, Spain
[2] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea
来源
PUBLICATIONES MATHEMATICAE DEBRECEN | 2013年 / 83卷 / 04期
基金
新加坡国家研究基金会;
关键词
g-Tanaka-Webster connection; complex projective space; real hypersurface; shape operator; Codazzi type;
D O I
10.5486/PMD.2013.5712
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We classify real hypersurfaces in complex projective space whose shape operator is of Codazzi type with respect to a generalized Tanaka-Webster connection with a condition on the principal curvature of the structure vector field. As a consequence we classify real hypersurfaces in complex projective space whose shape operator is generalized Tanaka-Webster parallel with the same condition.
引用
收藏
页码:707 / 714
页数:8
相关论文
共 13 条
[1]  
[Anonymous], 2008, Hokkaido Math. J.
[2]  
[Anonymous], 1978, J DIFFER GEOM
[3]  
[Anonymous], 2002, RIEMANNIAN GEOMETRY
[4]  
Cecil TE, 2015, SPRINGER MONOGR MATH, P343, DOI 10.1007/978-1-4939-3246-7_6
[5]  
Cho JT, 1999, PUBL MATH-DEBRECEN, V54, P473
[7]   REAL HYPERSURFACES OF A COMPLEX PROJECTIVE SPACE [J].
MAEDA, Y .
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1976, 28 (03) :529-540
[8]   SOME REAL HYPERSURFACES OF A COMPLEX PROJECTIVE SPACE [J].
OKUMURA, M .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 212 (OCT) :355-364
[9]   REAL HYPERSURFACES IN A COMPLEX PROJECTIVE SPACE WITH CONSTANT PRINCIPAL CURVATURES [J].
TAKAGI, R .
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1975, 27 (01) :43-53
[10]  
TAKAGI R, 1975, J MATH SOC JPN, V27, P507, DOI 10.2969/jmsj/02740507