2 citations · 2 across the 4 of their papers we have counts for
4 papers
On the Dirac complement problem
Tom Ariel, Roberto Rubio, Marco Zambon
The existence of a Dirac complement for a given Dirac structure is a central question in the structure theory of Courant algebroids and the deformation theory of Dirac structures.…
Flat Generalized Connections on Courant Algebroids
Gil R. Cavalcanti, Jaime Pedregal, Roberto Rubio
We consider a family of metric generalized connections on transitive Courant algebroids, which includes the canonical Levi-Civita connection, and study the flatness condition. We f…
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…
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…