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

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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.

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Authors and Affiliations

  1. Department of Algebra and Geometry, Faculty of Mathematics and Informatics, University of Plovdiv, 236 Bulgaria Blvd, 4003, Plovdiv, Bulgaria

    Mancho Manev & Miroslava Ivanova

Authors
  1. Mancho Manev
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  2. Miroslava Ivanova
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Correspondence to Mancho Manev.

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Manev, M., Ivanova, M. Canonical-type connection on almost contact manifolds with B-metric. Ann Glob Anal Geom 43, 397–408 (2013). https://doi.org/10.1007/s10455-012-9351-z

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  • DOI: https://doi.org/10.1007/s10455-012-9351-z

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