Two Kinds of Weakly Berwald Special (α, β) -
metrics of Scalar flag curvature

Thippeswamy K.R; Narasimhamurthy S.K

doi:https://doi.org/10.14445/22315373/IJMTT-V44P524

International Journal of Mathematics Trends and Technology

Research Article | Open Access

Volume 44 | Number 3 | Year 2017 | Article Id. IJMTT-V44P524 | DOI : https://doi.org/10.14445/22315373/IJMTT-V44P524

Two Kinds of Weakly Berwald Special (α, β) - metrics of Scalar flag curvature

Thippeswamy K.R, Narasimhamurthy S.K

Abstract

In this paper, we study two important class of special (α, β)-metrics of scalar flag curvature in the form of and (where and are constants) are of scalar flag curvature. We prove that these metrics are weak Berwald if and only if they are Berwald and their flag curvature vanishes. Further, we show that the metrics are locally Minkowskian.

Keywords

Finsler metric, metrics, Scurvature, Weak berwald metric, flag cur-vature, locally minkowski metric.

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Citation :

Thippeswamy K.R, Narasimhamurthy S.K, "Two Kinds of Weakly Berwald Special (α, β) - metrics of Scalar flag curvature," International Journal of Mathematics Trends and Technology (IJMTT), vol. 44, no. 3, pp. 123-128, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V44P524