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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 (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 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

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Electronic fulltext finalized on: 26 Apr 2018. This page was last modified: 11 Mai 2018.

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