Publications de l’Institut Mathématique, Nouvelle Série Vol. 103[117] 
Sasaki Metric on the Tangent Bundle of a Weyl ManifoldCorneliaLivia Bejan, İlhan GülDepartment of Mathematics, "Gh. Asachi" Technical University, Iasi, Romania; Department of Mathematics, Istanbul Technical University, Istanbul, TurkeyAbstract: Let $(M,[g\left]\right)$ be a Weyl manifold of dimension $m>2$. By using the Sasaki metric $G$ induced by $g$, we construct a Weyl structure on $TM$. 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. Keywords: tangent bundle; Sasaki metric; Weyl structure Classification (MSC2000): 53C25; 53C05 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 26 Apr 2018. This page was last modified: 11 Mai 2018.
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