36 citations · 62 across the 5 of their papers we have counts for
5 papers
Type changing, compact generalized Calabi--Yaus
Gil R. Cavalcanti
We provide the first compact examples of type-changing generalized Calabi--Yau manifolds using Fei's construction of non-Kähler Calabi--Yau manifolds on branched covers of twistor…
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…
Stable generalized complex structures
Gil R. Cavalcanti, Marco Gualtieri
A stable generalized complex structure is one that is generically symplectic but degenerates along a real codimension two submanifold, where it defines a generalized Calabi-Yau str…
Blow-up of generalized complex 4-manifolds
Gil R. Cavalcanti, Marco Gualtieri
We introduce blow-up and blow-down operations for generalized complex 4-manifolds. Combining these with a surgery analogous to the logarithmic transform, we then construct generali…