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On the Equivalence of Generalized Ricci Curvatures

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arxiv 2406.06695 v3 pith:3BJMLG3R submitted 2024-06-10 math.DG hep-thmath.SG

On the Equivalence of Generalized Ricci Curvatures

Gil R. Cavalcanti , Jaime Pedregal , Roberto Rubio This is my paper
classification math.DG hep-thmath.SG
keywords generalizedricciequivalenceapplicationcharacterizecurvaturecurvaturesfound
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We prove the equivalence between the several notions of generalized Ricci curvature found in the literature. As an application, we characterize when the total generalized Ricci tensor is symmetric.

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