Differentiable mappings between spaces of sections
Functional Analysis
2013-08-07 v1
Abstract
In this work, various versions of the so-called Omega-Lemma are provided, which ensure differentiability properties of pushforwrds between spaces of C^r-sections (or compactly supported C^r-sections) in vector bundles over finite-dimensional base manifolds whose fibres are (possibly infinite-dimensional) locally convex spaces. Applications are given, including the proof of continuity for some natural module multiplications on spaces of sections and the construction of certain infinite-dimensional Lie groups of Lie group-valued maps.
Cite
@article{arxiv.1308.1172,
title = {Differentiable mappings between spaces of sections},
author = {Helge Glockner},
journal= {arXiv preprint arXiv:1308.1172},
year = {2013}
}
Comments
31 pages, LaTeX. Up to minor updates, this is an unpublished manuscript from 2001/2002