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- W2734775276 abstract "A geodesic circle in Finsler geometry is a natural extension of that in a Euclidean space. In this paper, we apply Lie derivatives and the Cartan $Y$-connection to study geodesic circles and (infinitesimal) concircular transformations on a Finsler manifold. We characterize a concircular vector field with some PDEs on the tangent bundle, and then we obtain respective necessary and sufficient conditions for a concircular vector field to be conformal and a conformal vector field to be concircular. We also show conditions for two conformally related Finsler metrics to be concircular, and obtain some invariant curvature properties under conformal and concircular transformations." @default.
- W2734775276 created "2017-07-21" @default.
- W2734775276 creator A5012073325 @default.
- W2734775276 date "2017-07-10" @default.
- W2734775276 modified "2023-09-27" @default.
- W2734775276 title "On Concircular Transformations In Finsler Geometry" @default.
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- W2734775276 doi "https://doi.org/10.48550/arxiv.1707.02768" @default.
- W2734775276 hasPublicationYear "2017" @default.
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