论文标题

三维(PARA)接触度量的分类结果和几乎(PARA)均匀$(κ,μ)$ - 空间

Classification results for three-dimensional (para)contact metric and almost (para)cosymplectic $(κ,μ)$-spaces

论文作者

Dacko, Piotr

论文摘要

它的概述概述了有关接触度量的分类,几乎均匀的和几乎kenmotsu $(κ,μ)$ - 歧管的结果。在尺寸三的情况下,可以全面描述接触度量或几乎均匀$(κ,μ)$ - 空间的结构。本文的第二部分介绍了三维paracontact公制和几乎偏神经的$(κ,μ)$ - 空间。对于每一个可能的$κ$,都有paracontact公制$(κ,μ)$ - $(κ,μ)$的局部分类,几乎是paracosymplectic $(κ,μ)$ - 空间。

It is provided an overview of existed results concerning classification of contact metric, almost cosymplectic and almost Kenmotsu $(κ,μ)$-manifolds. In the case of dimension three it is described in full details structure of contact metric or almost cosymplectic $(κ,μ)$-spaces. The second part of the paper addresses three-dimensional paracontact metric and almost paracosymplectic $(κ,μ)$-spaces. There is obtained local classification of paracontact metric $(κ,μ)$-spaces, and almost paracosymplectic $(κ,μ)$-spaces, for every possible value of $κ$.

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