On isotropic Berwald metrics

Tayebi, A.; Najafi, Behzad

doi:10.4064/ap103-2-1

Cited by 22 publications

(9 citation statements)

References 5 publications

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“…A. Tayebi and M. Rafie-Rad have showed that if F is an isotropic Berwald Finsler metric, then F is of isotropic S-curvature [20]. Tayebi-Najafi have proved that isotropic Berwald metrics of scalar flag curvature are of Randers type, [19]. In [14], Peyghan-Tayebi have proved that every generalized Berwald metrics with non-zero scalar flag curvature or isotropic Berwald curvature is a Randers metric.…”

Section: Introductionmentioning

confidence: 99%

On Landsberg Warped Product Metrics

Gabrani¹,

Rezaei²,

Sevim³

2021

Z. mat. fiz. anal. geom.

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In this paper, we discuss a class of Finsler metrics which are called Finsler warped product metrics. These metrics have been studied by Chen-Shen-Zhao, 2018. Basically, we study the Berwald curvature of Finsler warped product metrics. Also, we characterize the Finsler warped product metrics of isotropic Berwald curvature, then we obtain that they are Randers metrics (Theorem 1.2). Moreover, we consider an important problem which is unicorn problem in Finsler geometry for the class of Finsler metrics. In fact, we get the answer of the crucial question of this study that whether or not such a Landsberg Finsler warped product metric is a Berwald metric (Theorem 1.3).

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Section: Introductionmentioning

confidence: 99%

On Landsberg Warped Product Metrics

Gabrani¹,

Rezaei²,

Sevim³

2021

Z. mat. fiz. anal. geom.

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“…Tayebi-Rafie's result tells us that every isotropic Berwald metric is of isotropic S-curvature [8]. In [9], Tayebi-Najafi proved that isotropic Berwald metrics of scalar flag curvature are of Randers type. Recently, Guo-Liu-Mo have shown that every spherically symmetric Finsler metric of isotropic Berwald curvature is a Randers metric [4].…”

Section: Introductionmentioning

confidence: 99%

On general (α,β)-metrics with isotropic S-curvature

Zhu

2018

Journal of Mathematical Analysis and Applications

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“…Tayebi-Rafie's result tells us that every isotropic Berwald metric is of isotropic S-curvature [16]. In [15], Tayebi-Najafi proved that isotropic Berwald metrics of scalar flag curvature are of Randers type. Recently, Guo-Liu-Mo have shown that every spherically symmetric Finsler metric of isotropic Berwald curvature is a Randers metric [10].…”

Section: Introductionmentioning

confidence: 99%