The Convenient Setting of Global Analysis
by Andreas Kriegl, Peter W. Michor
Publisher: American Mathematical Society 1997
ISBN/ASIN: 0821807803
ISBN-13: 9780821807804
Number of pages: 624
Description:
This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. Many applications are included: manifolds of smooth mappings, groups of diffeomorphisms, geodesics on spaces of Riemannian metrics, direct limit manifolds, perturbation theory of operators, and differentiability questions of infinite dimensional representations.
Download or read it online for free here:
Download link
(4MB, PDF)
Similar books
Manifolds: Current Research Areasby Paul Bracken (ed.) - InTech
Differential geometry is a very active field of research and has many applications to areas such as physics and gravity, for example. The papers in this book cover a number of subjects which will be of interest to workers in these areas.
(2917 views)
Projective and Polar Spacesby Peter J. Cameron - Queen Mary College
The author is concerned with the geometry of incidence of points and lines, over an arbitrary field, and unencumbered by metrics or continuity (or even betweenness). The treatment of these themes blends the descriptive with the axiomatic.
(8967 views)
Exterior Differential Systemsby Robert L. Bryant, et al. - MSRI
An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. This book gives a treatment of exterior differential systems. It includes both the theory and applications.
(3428 views)
Gauge Theory for Fiber Bundlesby Peter W. Michor - Universitaet Wien
Gauge theory usually investigates the space of principal connections on a principal fiber bundle (P,p,M,G) and its orbit space under the action of the gauge group (called the moduli space), which is the group of all principal bundle automorphisms...
(6138 views)