Geodesic
On isotropic Berwald metrics
Akbar Tayebi1 ; Behzad Najafi2
1 Faculty of Science Department of Mathematics Qom University Qom, Iran
2 Faculty of Science, Department of Mathematics Shahed University of Tehran Tehran, Iran
Annales Polonici Mathematici, Tome 103 (2012) no. 2, pp. 109-121

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap103-2-1
Keywords: prove every isotropic berwald metric scalar flag curvature randers metric study relation between isotropic berwald metric randers metric which pointwise projectively related constant isotropic berwald manifolds notions r quadratic stretch metrics equivalent prove every complete generalized landsberg manifold isotropic berwald curvature reduces berwald manifold finally study c conformal changes isotropic berwald metrics

Akbar Tayebi 1 ; Behzad Najafi 2

1 Faculty of Science Department of Mathematics Qom University Qom, Iran
2 Faculty of Science, Department of Mathematics Shahed University of Tehran Tehran, Iran 
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Akbar Tayebi; Behzad Najafi. On isotropic Berwald metrics. Annales Polonici Mathematici, Tome 103 (2012) no. 2, pp. 109-121. doi: 10.4064/ap103-2-1

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