(h, v) –Structures on Vector Bundles

Abstract

In this paper we will take into account the problem of the pairs of geometric structures defined on the total space of a vector bundle from another point of view, i.e. a pair of structures is given by both a horizontal and vertical structure, these structures being called (h, v) - structures. We study the case of degenerated structures on the vector bundle; moreover we determine the distinguished connections compatible with such structures.