%0 Journal Article
%T A Connection on Manifolds with a Nilpotent Structure
%A Asen Hristov
%J Mathematics
%D 2008
%I arXiv
%X All the connections, pure toward the nilpotent structure, are found. Examples of manifolds, for which the curvature tensor is pure or hybrid, are given. For a manifold of B-type a necessary and sufficient condition for purity of the curvature tensor is proved. It is verified that the conformal change of the metric of a B-manifold does not retain its purity.
%U http://arxiv.org/abs/0807.3235v1