Canonical-type connection on almost contact manifolds with B-metric

Abstract

The canonical-type connection on the almost contact manifolds with B-metric is constructed. It is proved that its torsion is invariant with respect to a subgroup of the general conformal transformations of the almost contact B-metric structure. The basic classes of the considered manifolds are characterized in terms of the torsion of the canonical-type connection.

11 pages, The final publication is available at http://www.springerlink.com

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