On conformal transformation of special curvature of Kropina metrics
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Abstract:
An important class of Finsler metric is named Kropina metrics which is defined by Riemannian metric α and 1-form β which have many applications in physic, magnetic field and dynamic systems. In this paper, conformal transformations of χ-curvature and H-curvature of Kropina metrics are studied and the conditions that preserve this quantities are investigated. Also it is shown that in the special cases the conformal transformations reduced to homothetic transformations.
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Journal title
volume 6 issue 2
pages 287- 298
publication date 2021-01
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