On Concircular Transformations in Finsler Geometry
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DOI: 10.1007/s00025-019-1088-6
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… read more here.
Keywords: finsler geometry; concircular transformations; transformations finsler; geometry ... See more keywords
S-closed conformal transformations in Finsler geometry
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DOI: 10.1016/j.difgeo.2018.02.004
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. read more here.
Keywords: finsler geometry; conformal transformations; transformations finsler; closed conformal ... See more keywords