A counterexample to Belgun-Moroianu conjecture
arXiv:1412.1931 · doi:10.1016/j.crma.2015.03.001
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.
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