TITLE:
Projective Changes between Generalized (α, β)-Metric and Randers Metric
AUTHORS:
Pradeep Kumar, Madhu T. S., Sharath B. R.
KEYWORDS:
Finsler Space with (α, β) -Metric, Projective Change, Locally Projectively Flat, Randers Metric
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.10 No.5,
May
14,
2020
ABSTRACT: Projective change between two Finsler metrics arises from Information Geom-etry. Such metrics have special geometric properties and will play an important role in Finsler geometry. The purpose of the present paper is to find a relation to characterize the projective change between generalized (α, β) - metric ( μ1, μ2 and μ3 ≠ 0 are constants) and Randers metric , where α and are two Riemannian metrics, β and are 1-forms. Further, we study such projective change when generalized (α, β) -metric F has some curvature property.