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S-closed conformal transformations in Finsler geometry

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Abstract In this paper, we study S-closed conformal transformations, i.e., conformal transformations preserving the S-curvature invariant. Using the maximum principle, we prove that such transformation must be a homothety unless… Click to show full abstract

Abstract In this paper, we study S-closed conformal transformations, i.e., conformal transformations preserving the S-curvature invariant. Using the maximum principle, we prove that such transformation must be a homothety unless the Finsler manifold is Riemannian.

Keywords: finsler geometry; conformal transformations; transformations finsler; closed conformal; geometry

Journal Title: Differential Geometry and Its Applications
Year Published: 2018

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