Logo

The Convenient Setting of Global Analysis

Large book cover: The Convenient Setting of Global Analysis

The Convenient Setting of Global Analysis
by

Publisher: American Mathematical Society
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.

Home page url

Download or read it online for free here:
Download link
(4MB, PDF)

Similar books

Book cover: Synthetic Differential GeometrySynthetic Differential Geometry
by - Cambridge University Press
Synthetic differential geometry is a method of reasoning in differential geometry and calculus. This book is the second edition of Anders Kock's classical text, many notes have been included commenting on new developments.
(9959 views)
Book cover: Algebraic geometry and projective differential geometryAlgebraic geometry and projective differential geometry
by - arXiv
Homogeneous varieties, Topology and consequences Projective differential invariants, Varieties with degenerate Gauss images, Dual varieties, Linear systems of bounded and constant rank, Secant and tangential varieties, and more.
(12215 views)
Book cover: Noncompact Harmonic ManifoldsNoncompact Harmonic Manifolds
by - arXiv
We provide a survey on recent results on noncompact simply connected harmonic manifolds, and we also prove many new results, both for general noncompact harmonic manifolds and for noncompact harmonic manifolds with purely exponential volume growth.
(4613 views)
Book cover: Introduction to Evolution Equations in GeometryIntroduction to Evolution Equations in Geometry
by - arXiv
The author aimed at providing a first introduction to the main general ideas on the study of the Ricci flow, as well as guiding the reader through the steps of Kaehler geometry for the understanding of the complex version of the Ricci flow.
(6532 views)