SASAKI METRIC ON THE TANGENT BUNDLE OF A WEYL MANIFOLD

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Bejan C., Gül İ.

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, cilt.103, sa.117, ss.25-32, 2018 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 103 Sayı: 117
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/pim1817025b
  • Dergi Adı: PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.25-32
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.