%0 Journal Article
%T Diffeogical Smoothness in Hodge Theory
%A Jiayong Li
%J Mathematics
%D 2009
%I arXiv
%X On a compact, oriented, Riemannian manifold, the Hodge decomposition theorem associates a smooth primitive to any exact smooth form omega. In this paper, we show that given a smooth family of exact smooth forms omega(t), the family of associated primitives is also a smooth family with respect to t.
%U http://arxiv.org/abs/0911.3152v1