A metric approach to Fréchet geometry

Details A metric approach to Fréchet geometry A metric approach to Fréchet geometry

2006-12-14

arxiv.org/abs/math/0612379v4

Mathematics

Differential Geometry

30 pages, no figures; submitted to Journal of Geometry and Physics

Scientific paper

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.

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