具有拟-Yamabe孤立子的仿切触流形

Some Paracontact Manifolds with quasi-Yamabe Solitons

孤立子在切触与仿切触几何中都是研究热点,此文考虑仿切触度量流形、仿Kenmotsu流形和仿余辛流形上的拟-Yamabe孤立子,得到仿切触度量流形和仿余辛流形(M 2n+1,g,ξ,λ,μ)上的拟-Yamabe孤立子是不恰当的,而仿Kenmotsu流形上的拟-Yamabe孤立子是恰当的。

Quasi-Yamabe soliton is a hot topic in contact and paracontact geometry.In this paper,we consider its branch paracontact metric manifold,parakenmotsu manifold and paracosymplectic manifold,we get that a paracontact metric manifold and a paracosymplectic manifold do not admit a proper quasi-Yamabe soliton(M,g,ξ,λ,μ),but a parakenmotsu manifold admits a proper quasi-Yamabe soliton.