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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
PublisherDover Publications Inc.
ISBN-139780486458441
eBay Product ID (ePID)95031618
Product Key Features
Publication NameDifferential Geometric Structures
SubjectMathematics
Publication Year2007
TypeTextbook
FormatPaperback
LanguageEnglish
AuthorWalter A. Poor
Number of Pages338 Pages
Dimensions
Item Height233 mm
Item Weight454 g
Item Width159 mm
Additional Product Features
Country/Region of ManufactureUnited States
Title_AuthorWalter A. Poor
Series TitleDover Books on Mathematics
