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arxiv: 1504.05330 · v1 · pith:S4HKP6GInew · submitted 2015-04-21 · 🧮 math.DG

Pair of associated Schouten-van Kampen connections adapted to an almost contact B-metric structure

classification 🧮 math.DG
keywords connectionscontactalmostassociatedb-metricpairadaptedkampen
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There are introduced and studied a pair of associated Schouten-van Kampen affine connections adapted to the contact distribution and an almost contact B-metric structure generated by the pair of associated B-metrics and their Levi-Civita connections. By means of the constructed non-symmetric connections, the basic classes of almost contact B-metric manifolds are characterized. Curvature properties of the considered connections are obtained.

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