Pair of associated Schouten-van Kampen connections adapted to an almost paracontact almost paracomplex Riemannian structure
arXiv:2012.14168 · doi:10.3390/math9070736
Abstract
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.
13 pages. arXiv admin note: text overlap with arXiv:1504.05330, arXiv:1706.05505