A counterexample to Belgun-Moroianu conjecture

作者：Matveev Vladimir S^*; Nikolayevsky Yuri

来源：Comptes Rendus Mathematique, 2015, 353(5): 455-457.

DOI：10.1016/j.crma.2015.03.001

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.

• 出版日期2015-5