Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

On isotropic Berwald metrics

Akbar TayebiBehzad Najafi — 2012

Annales Polonici Mathematici

We prove that every isotropic Berwald metric of scalar flag curvature is a Randers metric. We study the relation between an isotropic Berwald metric and a Randers metric which are pointwise projectively related. We show that on constant isotropic Berwald manifolds the notions of R-quadratic and stretch metrics are equivalent. Then we prove that every complete generalized Landsberg manifold with isotropic Berwald curvature reduces to a Berwald manifold. Finally, we study C-conformal changes of isotropic...

Doubly warped product Finsler manifolds with some non-Riemannian curvature properties

Esmaeil PeyghanAkbar TayebiBehzad Najafi — 2012

Annales Polonici Mathematici

We consider doubly warped product (DWP) Finsler manifolds with some non-Riemannian curvature properties. First, we study Berwald and isotropic mean Berwald DWP-Finsler manifolds. Then we prove that every proper Douglas DWP-Finsler manifold is Riemannian. We show that a proper DWP-manifold is Landsbergian if and only if it is Berwaldian. Then we prove that every relatively isotropic Landsberg DWP-manifold is a Landsberg manifold. We show that a relatively isotropic mean Landsberg warped product manifold...

Page 1

Download Results (CSV)