SECOND ORDER PARALLEL TENSORS AND RICCI SOLITONS ON (LCS)(n)-MANIFOLDS

被引:16
作者
Chandra, Soumen [1 ]
Hui, Shyamal Kumar [2 ]
Shaikh, Absos Ali [3 ]
机构
[1] RRB High HS Sch, Purulia 723201, W Bengal, India
[2] Sidho Kanho Birsha Univ, Dept Math, Purulia 723104, W Bengal, India
[3] Univ Burdwan, Dept Math, Burdwan 713101, W Bengal, India
来源
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2015年 / 30卷 / 02期
关键词
(LCS)(n)-manifolds; second order parallel tensors; Ricci soliton;
D O I
10.4134/CKMS.2015.30.2.123
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The object of the present paper is to study the second order parallel symmetric tensors and Ricci solitons on (LCS)(n)-manifolds. We found the conditions of Ricci soliton on (LCS)(n)-manifolds to be shrin-king, steady and expanding respectively.
引用
收藏
页码:123 / 130
页数:8
相关论文
共 33 条
[1]  
Ashoka S. R., 2014, DIFFER GEOM DYN SYST, V16, P50
[2]  
Ashoka S. R., 2013, CERTAIN RESULTS RICC
[3]  
Atceken M., 2011, ACTA U SAPIENTIAE-MA, V3, P212
[4]   Slant and pseudo-slant submanifolds in LCS-manifolds [J].
Atceken, Mehmet ;
Hui, Shyamal Kumar .
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2013, 63 (01) :177-190
[5]  
Bagewadi C.S., 2012, ACTA MATH ACAD PAEDA, V28, P59
[6]   Ricci solitons in manifolds with quasi-constant curvature [J].
Bejan, Cornelia Livia ;
Crasmareanu, Mircea .
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2011, 78 (01) :235-243
[7]  
Chaki M., 1988, BULG J PHYS, V15, P526
[8]  
Chen BY, 2014, BALK J GEOM APPL, V19, P13
[9]  
Eyasmin S., 2008, EXTR MATH, V23, P71
[10]   On phi-pseudo Symmetries of (LCS)(n)-Manifolds [J].
Hui, Shyamal Kumar .
KYUNGPOOK MATHEMATICAL JOURNAL, 2013, 53 (02) :285-294