Sectional curvatures on Weyl manifolds with a special metric connection


Özdemir F. , Turkoglu M. D.

TURKISH JOURNAL OF MATHEMATICS, vol.43, no.1, pp.224-240, 2019 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.3906/mat-1803-121
  • Title of Journal : TURKISH JOURNAL OF MATHEMATICS
  • Page Numbers: pp.224-240

Abstract

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).