论文标题
在3维触点度量歧管上的Yamabe solitonsQφ=φQ
Quasi Yamabe Solitons on 3-Dimensional Contact Metric Manifolds with Qφ=φQ
论文作者
论文摘要
在本文中，我们在3维接触度量歧管上启动对Qφ=φQ的三维接触度量歧管的研究曲率是恒定的，歧管是Sasakian。而且，V正在杀人。最后，我们证明，如果M是3维紧凑的接触度量歧管，以便Qφ=φQ赋予了准Yamabe Soliton，则M是平坦的，或者Soliton是微不足道的。
In this paper we initiate the study of quasi Yamabe soliton on 3-dimensional contact metric manifold with Qφ=φQ and prove that if a 3-dimensional contact metric manifold M such that Qφ=φQ admits a quasi Yamabe soliton with non-zero soliton vector field V being point-wise collinear with the Reeb vector field ξ, then V is a constant multiple of ξ, the scalar curvature is constant and the manifold is Sasakian. Moreover, V is Killing. Finally, we prove that if M is a 3-dimensional compact contact metric manifold such that Qφ=φQ endowed with a quasi Yamabe soliton, then either M is flat or soliton is trivial.
