On pseudo-slant submanifolds of trans-Sasakian manifolds

被引:14
作者
De, Uday Chand [1 ]
Sarkar, Avijit [2 ]
机构
[1] Univ Calcutta, Dept Pure Math, Kolkata 700019, W Bengal, India
[2] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India
关键词
trans-Sasakian manifolds; contact metric manifolds; pseudo-slant submanifolds;
D O I
10.3176/proc.2011.1.01
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The object of the present paper is to study pseudo-slant submanifolds of trans-Sasakian manifolds. Integrability conditions of the distributions on these submanifolds are worked out. Some interesting results regarding such manifolds have also been deduced. An example of a pseudo-slant submanifold of a trans-Sasakian manifold is given.
引用
收藏
页码:1 / 11
页数:11
相关论文
共 11 条
[1]  
Blair D. E., 1976, Lecture Notes in Mathematics, V509
[2]  
Blair D.E., 1990, Publications Matematiques, V34, P199
[3]   Semi-slant submanifolds of a Sasakian manifold [J].
Cabrerizo, JL ;
Carriazo, A ;
Fernández, LM ;
Fernández, M .
GEOMETRIAE DEDICATA, 1999, 78 (02) :183-199
[4]   Slant submanifolds in Sasakian manifolds [J].
Cabrerizo, JL ;
Carriazo, A ;
Fernández, LM ;
Fernández, M .
GLASGOW MATHEMATICAL JOURNAL, 2000, 42 :125-138
[5]  
Carriazo A., 2002, New Developments in Slant Submanifolds Theory
[6]  
Chen B. - Y., 1990, GEOMETRY SLANT SUBMA
[7]  
Gupta R. S., 2004, B MATH SOC SCI MATH, V47, P45
[8]  
Khan VA, 2007, INDIAN J PURE AP MAT, V38, P31
[9]  
Lotta A., 1996, Bull. Math. Soc. Roum, V39, P183
[10]   THE LOCAL-STRUCTURE OF TRANS-SASAKIAN MANIFOLDS [J].
MARRERO, JC .
ANNALI DI MATEMATICA PURA ED APPLICATA, 1992, 162 :77-86