ON THE PROJECTIVE FLATNESS OF RANDERS CONFORMAL CHANGED FINSLER METRIC

In the present paper, we first find the fundamental metric tensor of the Randers conformally transformed special (α, β)-metric F = α+ϵβ +k β2 α (ϵ and k ̸= 0 are constants) and then we find the necessary and sufficient condition for this metric to be locally projectively flat. Math. Subject Classification: 53B40, 53C60

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Publication Details

Journal
International Journal of Apllied Mathematics
Published
2025-09-18
DOI
https://doi.org/10.12732/ijam.v38i2s.102
Primary Topic
Advanced Differential Geometry Research
Type
article
Field-Weighted Citation Impact
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article

ON THE PROJECTIVE FLATNESS OF RANDERS CONFORMAL CHANGED FINSLER METRIC

Sruthy Asha Baby
International Journal of Apllied Mathematics
Advanced Differential Geometry Research
article

ON THE PROJECTIVE FLATNESS OF RANDERS CONFORMAL CHANGED FINSLER METRIC

Sruthy Asha Baby
article en

Abstract

In the present paper, we first find the fundamental metric tensor of the Randers conformally transformed special (α, β)-metric F = α+ϵβ +k β2 α (ϵ and k ̸= 0 are constants) and then we find the necessary and sufficient condition for this metric to be locally projectively flat. Math. Subject Classification: 53B40, 53C60

International Journal of Apllied MathematicsVol. 38(2s)
Openalex Percentile: Top 82%
Advanced Differential Geometry Research
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ON THE PROJECTIVE FLATNESS OF RANDERS CONFORMAL CHANGED FINSLER METRIC — Sruthy Asha Baby · International Journal of Apllied Mathematics (2025) | TGRS Research Map | TGRS