lie bialgebroidの例文

例文

1. Analogous to the Poisson manifold case one can show that " A " and " A " * form a Lie bialgebroid.
2. A Poisson manifold ( " M ", ? ) gives naturally rise to a Lie bialgebroid on " TM " ( with the commutator bracket of tangent vector fields ) and " T * M " with the Lie bracket induced by the Poisson structure.