论几乎接触计量几何中的 2 Killing 向量场

Pub Date : 2024-07-09 DOI:10.1007/s10998-024-00603-3

Adara M. Blaga, Cihan Özgür

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引用次数: 0

摘要

我们描述了接触度量流形的 2Killing 里布矢量场的特征，描述了与该结构的里布矢量场点对齐的 2Killing 矢量场，并在一般黎曼情况下对它们进行了研究。另一方面，当Reeb向量场是2-Killing向量场，而流形是Ricci孤子、Yamabe孤子、双曲Ricci孤子或双曲Yamabe孤子，其势能向量场与结构的Reeb向量场点对齐时，我们得到了一些性质。

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On 2-Killing vector fields in almost contact metric geometry

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.

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