Holonomy of Tame Weyl Structures
نویسندگان
چکیده
A Weyl structure on a compact conformal manifold is not complete in general. If, however, the life-time of incomplete geodesics can be controlled on compact subsets of the tangent bundle, the Weyl connection is called tame. We prove that every closed, non-exact, tame Weyl structure on a compact conformal manifold is either flat, or has irreducible holonomy, generalizing an analogous statement for Riemannian cone metrics [6]. 2000 Mathematics Subject Classification: Primary 53A30, 53C05, 53C29.
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