SUBMANIFOLDS OF GENERALIZED SASAKIAN SPACE FORMS

被引:28
作者
Alegre, Pablo [1 ]
Carriazo, Alfonso [1 ]
机构
[1] Univ Seville, Fac Math, Dept Geometry & Topol, E-41080 Seville, Spain
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 03期
关键词
Almost contact metric manifold; Generalized Sasakian space form; Almost semi-invariant submanifold; SLANT SUBMANIFOLDS; MANIFOLDS;
D O I
10.11650/twjm/1500405448
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper submanifolds of generalized Sasakian-space-forms are studied. We focus on almost semi-invariant submanifolds, these generalize invariant, anti-invariant, and slant submanifolds. Sectional curvatures, Ricci tensor and scalar curvature are also studied. The paper finishes with some results about totally umbilical submanifolds.
引用
收藏
页码:923 / 941
页数:19
相关论文
共 19 条
[1]   Generalized Sasakian-space-forms [J].
Alegre, P ;
Blair, DE ;
Carriazo, A .
ISRAEL JOURNAL OF MATHEMATICS, 2004, 141 (1) :157-183
[2]   Structures on generalized Sasakian-space-forms [J].
Alegre, Pablo ;
Carriazo, Alfonso .
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2008, 26 (06) :656-666
[3]  
BARROS M, 1979, AI I CUZA IASI M, V25, P355
[4]   CR-SUBMANIFOLDS OF A KAEHLER MANIFOLD .1. [J].
BEJANCU, A .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 69 (01) :135-142
[5]  
Bejancu A., 1984, B MATH SOC SCI MATH, V28, P13
[6]  
Blair D. E., 1978, J DIFFER GEOM, V13, P273
[7]  
Blair D. E., 2002, Riemannian Geometry of Contact and Symplectic Manifolds
[8]   Slant submanifolds in Sasakian manifolds [J].
Cabrerizo, JL ;
Carriazo, A ;
Fernández, LM ;
Fernández, M .
GLASGOW MATHEMATICAL JOURNAL, 2000, 42 :125-138
[9]  
Carriazo A., 2000, P ICRAMS 2000 KHAR I, P88
[10]  
Chen B.-Y., 1973, PURE APPL MATH, V22