Fatma ÖZDEMİR, Mustafa Deniz TÜRKOĞLU

Sectional curvatures on Weyl manifolds with a special metric connection

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

In this paper, Weyl manifolds, denoted by $WS(g,w,\pi,\mu)$, having a special a semisymmetric recurrent-metric 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, $EWS(g,w,\pi,\mu)$.

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