A counterexample to Belgun-Moroianu conjecture
Differential Geometry
2015-10-02 v1
Abstract
We construct an example of a closed manifold with a nonflat reducible locally metric connection such that it preserves a conformal structure and such that it is not the Levi-Civita connection of a Riemannian metric.
Cite
@article{arxiv.1412.1931,
title = {A counterexample to Belgun-Moroianu conjecture},
author = {Vladimir S. Matveev and Yuri Nikolayevsky},
journal= {arXiv preprint arXiv:1412.1931},
year = {2015}
}
Comments
are as always welcome