论文标题

一对相关的Schouten-van kampen连接,适应几乎副键的几乎是paracomplex riemannian结构

Pair of associated Schouten-van Kampen connections adapted to an almost paracontact almost paracomplex Riemannian structure

论文作者

Manev, Hristo, Manev, Mancho

论文摘要

引入并研究了一对相关的Schouten-van kampen仿射连接,适合于paracontact分布,几乎是由相关指标及其LEVI-CIVITA连接产生的几乎副触发型riemannian结构。通过构造的非对称连接,具有所考虑结构的歧管的基本类别。获得了研究连接的曲率特性。建立了一个谎言群体的一个例子。

There are introduced and studied a pair of associated Schouten-van Kampen affine connections adapted to the paracontact distribution and an almost paracontact almost paracomplex Riemannian structure generated by the pair of associated metrics and their Levi-Civita connections. By means of the constructed non-symmetric connections, the basic classes of the manifolds with the considered structure are characterized. Curvature properties of the studied connections are obtained. A family of examples on a Lie group is constructed.

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