SASAKI METRIC ON THE TANGENT BUNDLE OF A WEYL MANIFOLD

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Bejan C., Gül İ.

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, vol.103, no.117, pp.25-32, 2018 (ESCI)

• Publication Type: Article / Article
• Volume: 103 Issue: 117
• Publication Date: 2018
• Doi Number: 10.2298/pim1817025b
• Journal Name: PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.25-32
• Istanbul Technical University Affiliated: Yes

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.