ABOUT GEOMETRY OF DISTRIBUTION OF A COSYMPLECTIC B-METRIC MANIFOLD

On distribution D of a cosymplectic B-metric manifold M, as on total space of a vector bundle, an almost contact structure with B-metric is defined. It is proved that a manifold D with such structure is a cosymplectic B-metric manifold if and only if the distribution D of manifold M is a zero curvature distribution, and the vector field ξ is a Killing vector field.