On isotropic Berwald metrics
Tom 103 / 2012
Annales Polonici Mathematici 103 (2012), 109-121
MSC: Primary 53B40; Secondary 53C60.
DOI: 10.4064/ap103-2-1
Streszczenie
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.
