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