Distributions of $m$-dimensional line elements in a space with projective connection. II

This paper is a continuation of the paper by G. F. Laptev and N. M. Ostianu [2]. The study of distribution is continued, but the attention is paid mainly to constructions depending only on so called fundamental subobject of the distribution. In § 1 is proved that the sequence of fundamental objects admits a sequence of subobjects (fundamental subobjects). In § 2–4 objects are constructed which determine fields of invariant planes intrinsically related to the distribution and defined by the fundamental subobjects. In § 5 systems of hyperquadrics defined by the fundamental subobjects of the distribution are considered. In § 6 the similarity between the geometry of surfaces and geometry of distributions is indicated.