η-*-Ricci solitons and paracontact geometry

被引:0
|
作者
Sardar, Arpan [1 ]
De, Uday Chand [2 ]
Gezer, Aydin [3 ]
机构
[1] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India
[2] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, W Bengal, India
[3] Ataturk Univ, Dept Math, Erzurum, Turkiye
来源
JOURNAL OF ANALYSIS | 2023年 / 31卷 / 04期
关键词
eta-*-Ricci solitons; Gradient eta-*-Ricci solitons; Paracontact geometry; Para-Kenmotsu manifolds; para-Sasakian manifolds; REAL HYPERSURFACES;
D O I
10.1007/s41478-023-00620-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we classify eta-*-Ricci solitons in paracontact geometry. In particular, we characterize (2n + 1)-dimensional para-Kenmotsu manifolds having an eta-*-Ricci soliton and 3-dimensional para-Kenmotsu manifolds admitting a gradient eta-*-Ricci soliton. Next, we classify 3-dimensional para-Sasakian manifolds admitting eta-*-Ricci soliton and gradient eta-*-Ricci soliton. Finally, we construct examples to illustrate our results.
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页码:2861 / 2876
页数:16
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