Kenmotsu 3-manifolds and gradient solitons

被引:0
|
作者
Mofarre, F. [1 ]
De, Uc [2 ]
机构
[1] Princess Nourah bin Abdulrahman Univ, Fac Sci, Math Sci Dept, Riyadh 11546, Saudi Arabia
[2] Univ Calcutta, 35 Ballygunge Circular Rd, Kol 700019, West Bengal, India
关键词
Kenmotsu; 3-manifold; gradient Yamabe soliton; gradient Einstein soliton; YAMABE SOLITONS;
D O I
10.15330/cmp.15.1.120-127
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this article is to characterize a Kenmotsu 3-manifold whose metric is either a gradient Yamabe soliton or gradient Einstein soliton. It is proven that in both cases this manifold is reduced to the manifold of constant sectional curvature. Finally, we verify the obtained results by an example.
引用
收藏
页码:120 / 127
页数:8
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