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On isotropic Berwald metrics

100%

Tayebi A., Najafi B.

Annales Polonici Mathematici

2012

tom 103

nr 2

109-121

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 Berwald metrics.

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

81%

Peyghan E., Tayebi A., Najafi B.

Annales Polonici Mathematici

2012

tom 105

nr 3

293-311

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 is a weakly Landsberg manifold. Finally, we show that there is no locally dually flat proper DWP-Finsler manifold.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Najafi B.

2 Tayebi A.

1 Peyghan E.

2 2012

Wyniki wyszukiwania

On isotropic Berwald metrics

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