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We develop the formulation of DFT on pre-QP-manifold. The consistencyconditions like section condition and closure constraint are unified by a weakmaster equation. The Bianchi identities are also characterized by thepre-Bianchi identity. Then, the background metric and connections areformulated by using covariantized pre-QP-manifold. An application to theanalysis of the DFT on group manifold is given.

DFT in supermanifold formulation and group manifold as background geometry