3 papers
math.SG2026
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.…
math.DG2026
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…
math.DG2025
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…