2 papers
math.DG2025
Manin triples on multiplicative Courant algebroids
Ana Carolina Mançur
We extend the characterization of Lie bialgebroids via Manin triples to the context of double structures over Lie groupoids. We consider Lie bialgebroid groupoids, given by LA-grou…
math.DG2025
Manin triples for double Lie bialgebroids
Ana Carolina Mançur
We verify that LA-Courant algebroids provide the Manin triple framework for double Lie bialgebroids. Specifically, we establish a correspondence between double Lie bialgebroids and…