ABOUT EXTENDED KENMOTS STRUCTURES ON DISTRIBUTIONS OF SUB-FINSLER MANIFOLDS WITH ZERO SCHOUTEN CURVATURE TENSOR

An almost contact metric structure is defined on the total space of the vector bundle (D,π,M). This structure is defined by means of the connection defined over the distribution of a sub-finsler manifold M of contact type with the zero Schouten curvature tensor. We find the conditions under which the extended structure is a structure of Kenmotsu.