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

DOI10.3390/MATH9070736arXiv2012.14168WikidataQ115221130 ScholiaQ115221130MaRDI QIDQ6357057

Publication date: 28 December 2020

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.

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Almost contact and almost symplectic manifolds (53D15)

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