Department Of Mathematics And Statistics

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On Kropina-Randers change of mth-root Finsler metric
(Pushpa Publishing House, 2017) Shanker, G.; Baby, S.A.
In the present paper, we consider the Kropina-Randers change of mth root Finsler metric. Firstly, we find the fundamental metric tensors of the Kropina-Randers transformed mth root Finsler metric, and then the necessary and sufficient condition under which the Kropina-Randers change of the mth root Finsler metric is locally dually flat. Further, we prove that the Kropina-Randers change of mth root Finsler metric is locally projectively flat if and only if it is locally Minkowskian. ? 2017 Pushpa Publishing House, Allahabad, India.
Four-dimensional conformally flat Berwald and Landsberg spaces
(Informatics Publishing Limited and The Indian Mathematical Society, 2018) Shanker, G.
The problem of conformal transformation and conformal atness of Finsler spaces has been studied in [6], [16], [17], [20], [21]. Recently, Prasad et. al [19] have studied three dimensional conformally at Landsberg and Berwald spaces and have obtained some important results. The purpose of the present paper is to extend the idea of conformal change to four dimensional Finsler spaces and find the suitable conditions under which a four dimensional conformally at Landsberg space becomes a Berwald space. ? 2018 Indian Mathematical Society.