%0 Journal Article
%T A metric approach to Fr¨¦chet geometry
%A Olaf M¨¹ller
%J Mathematics
%D 2006
%I arXiv
%X The aim of this article is to present the category of bounded Frechet manifolds in respect to which we will review the geometry of Frechet manifolds with a stronger accent on its metric aspect. An inverse function theorem in the sense of Nash and Moser in this category is proved, and some applications to Riemannian geometry are given.
%U http://arxiv.org/abs/math/0612379v4