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
Ricci Flow and the Poincare Conjectureby John Morgan, Gang Tian - American Mathematical Society
This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's preprints. The book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology.
(13415 views)
Differential Topology and Morse Theoryby Dirk Schuetz - University of Sheffield
These notes describe basic material about smooth manifolds (vector fields, flows, tangent bundle, partitions of unity, Whitney embedding theorem, foliations, etc...), introduction to Morse theory, and various applications.
(11210 views)
Differential Topologyby Bjorn Ian Dundas - Johns Hopkins University
This is an elementary text book for the civil engineering students with no prior background in point-set topology. This is a rather terse mathematical text, but provided with an abundant supply of examples and exercises with hints.
(11045 views)
Manifolds of Differentiable Mappingsby 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.
(10720 views)