- Turkish Journal of Mathematics
- Vol: 43 Issue: 1
- Sectional curvatures on Weyl manifolds with a special metric connection
Sectional curvatures on Weyl manifolds with a special metric connection
Authors : Fatma Özdemir, Mustafa Deniz Türkoğlu
Pages : 224-240
View : 12 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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, $EWS(g,w,\pi,\mu)$.Keywords : Weyl manifold, semisymmetric connection, recurrent-metric connection, generalized Bianchi identities, sectional curvature