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arxiv: 1412.1931 · v1 · pith:OPRKIFYVnew · submitted 2014-12-05 · 🧮 math.DG

A counterexample to Belgun-Moroianu conjecture

classification 🧮 math.DG
keywords connectionmetricbelgun-moroianuclosedconformalconjectureconstructcounterexample
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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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