Some Rigidity Results Related to Monge–Ampèere Functions
Some Rigidity Results Related to Monge–Ampèere Functions
Abstract The space of Monge–Ampère functions, introduced by J. H. G. Fu, is a space of rather rough functions in which the map u ⟼ Det D 2 u is well defined and weakly continuous with respect to a natural notion of weak convergence. We prove a rigidity theorem for …