A Connection on Manifolds with a Nilpotent Structure
Differential Geometry
2008-07-22 v1
Abstract
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.
Cite
@article{arxiv.0807.3235,
title = {A Connection on Manifolds with a Nilpotent Structure},
author = {Asen Hristov},
journal= {arXiv preprint arXiv:0807.3235},
year = {2008}
}
Comments
13 pages