SOME GEOMETRICAL ASPECTS OF A HORIZONTAL DISTRIBUTION OF PFAFF SYSTEMS ON MANIFOLDS

Abstract

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.

Cuvinte cheie

Pfaff systems distributions structure equations