Differential Geometric Structures

Differential Geometric Structures

eBook - 2015
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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. --Provided by publisher.
Publisher: Mineola, New York : Dover Publications, 2015.
ISBN: 9780486151915
Branch Call Number: EBOOK
Characteristics: data file
1 online resource (352 pages)

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