Differential Topology of Fiber Bundles
by Karl-Hermann Neeb
Publisher: FAU Erlangen-Nuernberg 2010
Number of pages: 146
Description:
From the table of contents: Basic Concepts (The concept of a fiber bundle, Coverings, Morphisms...); Bundles and Cocycles; Cohomology of Lie Algebras; Smooth G-valued Functions; Connections on Principal Bundles; Curvature; Perspectives.
Download or read it online for free here:
Download link
(600KB, PDF)
Similar books

by Peter W. Michor - Birkhauser
This book is devoted to the theory of manifolds of differentiable mappings and contains result which can be proved without the help of a hard implicit function theorem of nuclear function spaces. All the necessary background is developed in detail.
(11465 views)

by Riccardo Benedetti - arXiv.org
This text is a comprehensive introduction to the theory of smooth manifolds, maps, and fundamental associated structures. It is geared toward beginning master's and doctoral students with an undergraduate mathematics background.
(686 views)

by Ana Cannas da Silva - Princeton University
An overview of symplectic geometry – the geometry of symplectic manifolds. From a language of classical mechanics, symplectic geometry became a central branch of differential geometry and topology. This survey gives a partial flavor on this field.
(13733 views)

by Thomas E. Cecil, Shiing-shen Chern - Cambridge University Press
Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six articles by leading experts in the field.
(13043 views)