SOME GEOMETRICAL ASPECTS OF A HORIZONTAL DISTRIBUTION OF PFAFF SYSTEMS ON MANIFOLDS
VALER NIMINEŢ Department of Mathematics, Informatics and Education Sciences, Faculty of Sciences, "Vasile Alecsandri" University of Bacău, Calea Mărăşeşti 157, Bacău 600115, ROMANIA
e-mail: valern@ub.ro
We continue our investigation [7] and [8] of Pfaff systems on manifolds by studying the horizontal distributions that are supplementary to the vertical distributions on the total space of a submersion. The horizontal distribution is kernel of the Pfaff system. We point out the Berwald connection induced by a nonlinear connection and its curvature tensors.
