3 papers
math.DG2026
Integrability of generalized structures on odd exact Courant algebroids using generalized connections
Vicente Cortés, Liana David, Marius Mirea
Odd exact Courant algebroids constitute a simple class of transitive Courant algebroids. Their underlying vector bundle is of odd rank and differs from a generalized tangent bundle…
math.DG2025
Components of generalised complex structures on transitive Courant algebroids
Vicente Cortés, Liana David
Generalised almost complex structures on transitive Courant algebroids are studied in terms of their components with respect to a splitting $E\cong TM \oplus T^*M…
math.DG2025
Darboux theorem for generalized complex structures on transitive Courant algebroids
Vicente Cortés, Liana David
Under natural assumptions we find local normal forms for generalized complex structures on transitive Courant algebroids, which extend Gualtieri's Darboux theorem for generalized c…