A classification of the torsion tensors on almost contact manifolds with   B-metric
  The space of the torsion (0,3)-tensors of the linear connections on almost contact manifolds with B-metric is decomposed in 15 orthogonal and invariant subspaces with respect to the action of the structure group. Three known connections, preserving the structure, are characterized regarding this classification. 
Mancho Manev, Miroslava Ivanova
math.DG