Flat Forms in Banach Spaces
We define a flat partial differential form in a Banach space and show that the space of these forms is isometrically the dual space of the space of flat chains as defined by T. Adams.
Snipes, Marie, "Flat Forms in Banach Spaces" (2013). Journal of Geometric Analysis 23(2): 490-538. Faculty Publications. Paper 55.
Journal of Geometric Analysis