On 2-Killing vector fields in almost contact metric geometry

被引：0

作者：

Blaga, Adara M. ^{[1
]}

Ozgur, Cihan ^{[2
]}

机构：

[1] West Univ Timisoara, Dept Math, Timisoara 300223, Romania

[2] Izmir Democracy Univ, Dept Math, TR-35140 Izmir, Turkiye

来源：

PERIODICA MATHEMATICA HUNGARICA | 2024年

关键词：

Almost contact metric manifold; 2-Killing vector field; Ricci soliton; Hyperbolic Ricci soliton; Yamabe soliton; Hyperbolic Yamabe soliton;

D O I：

10.1007/s10998-024-00603-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize a 2-Killing Reeb vector field of a contact metric manifold, we describe the 2-Killing vector fields pointwise collinear with the Reeb vector field of the structure, and we study them in the general Riemannian case. On the other hand, we obtain some properties when the Reeb vector field is 2-Killing and the manifold is a Ricci soliton, a Yamabe soliton, a hyperbolic Ricci soliton, or a hyperbolic Yamabe soliton with potential vector field pointwise collinear with the Reeb vector field of the structure.

引用

页数：13

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