Sectional curvatures on Weyl manifolds with a special metric connection

Özdemir F., Turkoglu M. D.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.1, ss.224-240, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1803-121
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.224-240
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper, Weyl manifolds, denoted by WS(g, w, pi, mu), having a special a semisymmetric recurrentmetric connection are introduced and the uniqueness of this connection is proved. We give an example of WS(g, w, pi, mu) with a constant scalar curvature. Furthermore, we define sectional curvatures of WS(g, w, pi, mu) and prove that any isotropic Weyl manifold WS(g, w, pi, mu) is locally conformal to an Einstein manifold with a semisymmetric recurrent-metric connection, EWS(g, w, pi, mu).