Geometry of almost Ricci solitons on paracontact metric manifolds

被引:3
|
作者
Ali, Akram [1 ]
Mofarreh, Fatemah [2 ]
Patra, Dhriti Sundar [3 ]
机构
[1] King Khalid Univ, Dept Math, Abha 9004, Saudi Arabia
[2] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Math Sci Dept, Riyadh 11546, Saudi Arabia
[3] Univ Haifa, Dept Math, IL-3498838 Haifa, Israel
关键词
Almost Ricci solitons; Einstein manifold; paracontact metric manifold; har- monic vector field; infinitesimal harmonic transformations; K-CONTACT; COMPACT;
D O I
10.2989/16073606.2021.1929539
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this article is to investigate almost Ricci solitons on para- contact manifolds. We demonstrate that a gradient almost Ricci soliton whose metric is para-sasakian turns into Einstein with a constant scalar curvature -2n(2n + 1). Next, we get a few relationships between almost Ricci solitons and Ricci solitons on a K-paracontact manifold and its generalizations. Finally, some findings on para- contact manifolds and H-paracontact manifolds admitting an almost Ricci soliton with a potential vector field that is a pointwise collinear with the Reeb vector field are discovered.
引用
收藏
页码:1167 / 1180
页数:14
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