Sasaki metric on the tangent bundle of a Weyl manifold

Abstract

Let (M, [g]) be a Weyl manifold of dimension m > 2. By using the Sasaki metric G induced by g, we construct a Weyl structure on T M . Then we prove that it is never Einstein–Weyl unless (M, g) is flat. The main theorem here extends to the Weyl context a result of Musso and Tricerri.