Beschreibung:
We define the operations of conformal change and elementary deformation in the setting of generalized complex geometry. Then we apply Swann’s twist construction to generalized (almost) complex and Hermitian structures obtained by these operations and establish necessary and sufficient conditions for the Courant integrability of the resulting twisted structures. In particular, we associate to any appropriate generalized Kähler manifold (M,G,J ) with a Hamiltonian Killing vector field a new generalized Kähler manifold, depending on the choice of a pair of non-vanishing functions and compatible twist data.