A weighted version of projective Ricci curvature is defined, with classification statements for Randers and Kropina metrics and for projectively flat metrics with isotropic S-curvature.
Akbar-Zadeh, Champ de vecteurs projectifs sur le fibre unitaire , J
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Weighted Projective Ricci Curvature in Finsler Geometry
A weighted version of projective Ricci curvature is defined, with classification statements for Randers and Kropina metrics and for projectively flat metrics with isotropic S-curvature.