Publications de l’Institut Mathématique, Nouvelle Série
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Sasaki Metric on the Tangent Bundle of a Weyl Manifold
Cornelia-Livia Bejan, İlhan Gül
Department of Mathematics, "Gh. Asachi" Technical University, Iasi, Romania; Department of Mathematics, Istanbul Technical University, Istanbul, Turkey
Abstract: Let be a Weyl manifold of dimension . By using the Sasaki metric induced by , we construct a Weyl structure on . Then we prove that it is never Einstein–Weyl unless is flat. The main theorem here extends to the Weyl context a result of Musso and Tricerri.
Keywords: tangent bundle; Sasaki metric; Weyl structure
Classification (MSC2000): 53C25; 53C05
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