Aspects of the theory of infinite dimensional manifolds
Differential Geometry
2016-09-06 v1 Functional Analysis
Abstract
The convenient setting for smooth mappings, holomorphic mappings, and real analytic mappings in infinite dimension is sketched. Infinite dimensional manifolds are discussed with special emphasis on smooth partitions of unity and tangent vectors as derivations. Manifolds of mappings and diffeomorphisms are treated. Finally the differential structure on the inductive limits of the groups , and some of their homogeneus spaces is treated.
Keywords
Cite
@article{arxiv.math/9202206,
title = {Aspects of the theory of infinite dimensional manifolds},
author = {Andreas Kriegl and Peter W. Michor},
journal= {arXiv preprint arXiv:math/9202206},
year = {2016}
}