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Pair of associated Schouten-van Kampen connections adapted to an almost contact B-metric structure (1504.05330v1)
Published 21 Apr 2015 in math.DG
Abstract: 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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