论文标题

d-homothothing固定,弱$(κ,μ)$ - 接触度量空间上的结构

D-homothetically fixed, weakly $(κ, μ)$-structures on contact metric spaces

论文作者

Rukimbira, Philippe

论文摘要

接触度量$(κ,μ)$ - 空间是Sasakian空间的概括。我们引入了薄弱的$(κ,μ)条件,作为K-contact元素的概括,并表明在较弱的广义K-contact几何形状设置中,许多已知的Sasakian几何形状的已知结果。特别是,我们证明存在K-contact和$(κ,μ= 2)$ - 在Boeckx不变的某些条件下结构。

Contact metric $(κ,μ)$-spaces are generalizations of Sasakian spaces. We introduce a weak $(κ,μ)$ condition as a generalization of the K-contact one and show that many of the known results from generalized Sasakian geometry hold in the weaker generalized K-contact geometry setting. In particular, we prove existence of K-contact and $(κ,μ=2)$-structures under some conditions on the Boeckx invariant.

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