On isotropic Berwald metrics

• Autorzy: Akbar Tayebi , Behzad Najafi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53B40: Finsler spaces and generalizations (areal metrics)
• 53C60: Finsler spaces and generalizations (areal metrics)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 103
• Numer: 2
• Strony: 109-121

Daty

wydano

2012

Twórcy

autor

Akbar Tayebi

• Faculty of Science, Department of Mathematics, Qom University, Qom, Iran

autor

Behzad Najafi

• Faculty of Science, Department of Mathematics, Shahed University of Tehran, Tehran, Iran

Identyfikatory

DOI

10.4064/ap103-2-1