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Research Article Open access CC BY 4.0

On Projectively Related Kropina Metric

S. K. Narasimha Murthy, B. C. Chethana, G. N. Latha Kumari

Journal of Advances in Mathematics and Computer Science · pp. 309–317 · Published 9 Jul 2015

10.9734/BJMCS/2015/15700

Abstract

In the present paper, we study curvature properties of projectively flat Kropina metric and prove that two Finsler metrics re projectively related if and only if they have thesame Douglas tensors. Further we showed that corresponding Riemannian metrics are projectively related.

Finsler metric Randers metric Kropina metric Douglas tensor projectively flat constant sectional curvature

Cited by 1

PROJECTIVE TRANSFORMATION BETWEEN THE INFINITE SERIES (α, β)-METRIC AND THE KROPINA METRIC

R. Das, V. K. Chaubey · Facta Universitatis Series Mathematics and Informatics · 2025

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