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Differential Geometric Structures by Walter A. Poor (Paperback, 2007)

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About this product

Product Information

Useful for independent study and as a reference work, this introduction to differential geometry features many examples and exercises. It defines geometric structure by specifying the parallel transport in an appropriate fiber bundle, focusing on the simplest cases of linear parallel transport in a vector bundle.The treatment opens with an introductory chapter on fiber bundles that proceeds to examinations of connection theory for vector bundles and Riemannian vector bundles. Additional topics include the role of harmonic theory, geometric vector fields on Riemannian manifolds, Lie groups, symmetric spaces, and symplectic and Hermitian vector bundles. A consideration of other differential geometric structures concludes the text, including surveys of characteristic classes of principal bundles, Cartan connections, and spin structures.

Product Identifiers

Publisher
Dover Publications Inc.
ISBN-13
9780486458441
eBay Product ID (ePID)
95031618

Product Key Features

Author
Walter A. Poor
Publication Name
Differential Geometric Structures
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2007
Type
Textbook
Number of Pages
338 Pages

Dimensions

Item Height
233mm
Item Width
159mm
Item Weight
454g

Additional Product Features

Title_Author
Walter A. Poor
Series Title
Dover Books on Mathematics
Country/Region of Manufacture
United States

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