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math.DG2024★ 2 cited
On the Equivalence of Generalized Ricci Curvatures
Gil R. Cavalcanti, Jaime Pedregal, Roberto Rubio
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 ten…
math.DG2024
New geometric structures on 3-manifolds: surgery and generalized geometry
Joan Porti, Roberto Rubio
Cosymplectic and normal almost contact structures are analogues of symplectic and complex structures that can be defined on 3-manifolds. Their existence imposes strong topological…