On isotropic Berwald metrics

被引：19

作者：

Tayebi, Akbar ^{[1
]}

Najafi, Behzad ^{[2
]}

机构：

[1] Qom Univ, Fac Sci, Dept Math, Qom, Iran

[2] Shahed Univ Tehran, Fac Sci, Dept Math, Tehran, Iran

来源：

ANNALES POLONICI MATHEMATICI | 2012年 / 103卷 / 02期

关键词：

isotropic Berwald metric; Randers metric; FINSLER-SPACES; DOUGLAS TYPE; CONNECTIONS; CURVATURE;

D O I：

10.4064/ap103-2-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：109 / 121

页数：13

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