MathDB3 problems
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Belgun–Moroianu's conjecture on closed Weyl structures
Belgun–Moroianu's conjecture. Every closed Weyl structure on a compact manifold is flat, exact, or has irreducible holonomy.
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Belgun–Moroianu's reducible holonomy conjecture for closed Weyl structures
Belgun–Moroianu's conjecture. The Weyl structure has reducible holonomy if and only if it is flat.
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The irreducibility conjecture for closed non-exact Weyl structures
Irreducibility conjecture. Every closed, non-exact Weyl structure on a compact conformal manifold is either irreducible or flat.