双曲 Kenmotsu 流形上的近 Yamabe孤立子
Almost Yamabe Solitons on Hyperbolic Kenmotsu Manifolds
DOI: 10.12677/PM.2022.1210178, PDF, HTML, 下载: 160  浏览: 290  国家自然科学基金支持
作者: 韩和龙*, 刘建成#：西北师范大学数学与统计学院，甘肃 兰州
关键词: 双曲 Kenmotsu 流形；共形向量场；近 Yamabe 孤立子；Killing 向量场；Hyperbolic Kenmotsu Manifold； Conformal Vector Field； Almost Yamabe Soliton； Killing Vector Field
摘要: 利用 Lie 导数算子,协变微分算子以及共形向量场的性质,证明在具有双曲 Kenmotsu 结构的近 Yamabe 孤立子中, 如果存在光滑函数f,使得切触1−形式η不变,则其势向量场是 Killing 向量场。
Abstract: By using the properties of Lie-derivative operator, covariant derivative operator and conformal vector field, we prove that in almost Yamabe solitons with hyperbolic Kenmotsu structrue, if there exists a smooth function f that leaves the contact 1-form η invariant, then its potential vector fields are Killing vector fields.
文章引用：韩和龙, 刘建成. 双曲 Kenmotsu 流形上的近 Yamabe孤立子[J]. 理论数学, 2022, 12(10): 1649-1654. https://doi.org/10.12677/PM.2022.1210178

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