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.

引用

页码：2861 / 2876

页数：16

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