ON 3-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS ADMITTING *-RICCI SOLITONS

被引：1
|
作者：
Haseeb, Abdul [1 ]
Harish, H. [2 ,3 ]
Prakasha, D. G. [4 ]
机构：
[1] Jazan Univ, Fac Sci, Dept Math, Jazan 2097, Saudi Arabia
[2] Sri Mahaveera Coll, Dept Math, Mudbidri 574197, India
[3] Karnatak Univ, Dept Math, Dharwad 580003, Karnataka, India
[4] Davangere Univ, Dept Math, Shivagangothri 577007, Davangere, India
来源：
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2022年 / 15卷 / 01期
关键词：
*-Ricci solitons; trans-Sasakian manifolds; projective curvature tensor; Einstein manifold;
D O I：
10.47013/15.1.8
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 characterize 3-dimensional trans- Sasakian manifolds admitting *-Ricci solitons. First, 3-dimensional trans-Sasakian manifolds admitting *-Ricci solitons satisfying the conditions R(xi, .) . S, S(xi, .) . R = 0 and Q . R = 0 are studied. Further, 3-dimensional manifolds admitting *-Ricci solitons satisfying certain conditions on the projective curvature tensor are considered and obtained several interesting results. Finally, the existence of *-Ricci solitons in a 3-dimensional trans-Sasakian manifold has been proved by a concrete example.
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页码：105 / 121
页数：17
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