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
Lectures on Fibre Bundles and Differential Geometryby J.L. Koszul - Tata Institute of Fundamental Research
From the table of contents: Differential Calculus; Differentiable Bundles; Connections on Principal Bundles; Holonomy Groups; Vector Bundles and Derivation Laws; Holomorphic Connections (Complex vector bundles, Almost complex manifolds, etc.).
(11392 views)
The Theory of Lie Derivatives and Its Applicationsby Kentaro Yano - North Holland Publishing Co.
The topics include: Spaces with a non-vanishing curvature tensor that admit a group of automorphisms of the maximum order; Groups of transformations in generalized spaces; Global properties of the groups of motions in a compact Riemannian space...
(4014 views)
Lectures on Calabi-Yau and Special Lagrangian Geometryby Dominic Joyce - arXiv
An introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture.
(14188 views)
Geometric Wave Equationsby Stefan Waldmann - arXiv
We discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed.
(11422 views)