BOOK

Differential Geometric Structures

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This textbook serves as a rigorous introduction to differential geometry, specifically designed for independent study or as a comprehensive reference work. Walter Poor defines geometric structures by specifying the parallel transport within an appropriate fiber bundle, focusing on linear parallel transport in its simplest forms. The text moves from an introductory overview of fiber bundles into detailed examinations of connection theory for vector bundles and Riemannian vector bundles. It further explores advanced topics such as harmonic theory, Lie groups, symmetric spaces, and symplectic structures. By providing numerous examples and exercises, the book helps students bridge the gap between abstract topological definitions and concrete geometric applications.

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Detail Information

Series Title

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Call Number

516.76 P823

Publisher

: McGraw-Hill Book Company., 1981

Collation

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Language

English

ISBN/ISSN

0070504350

Classification

516.76

Content Type

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Media Type

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Carrier Type

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Edition

1st

Subject(s)

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Specific Detail Info

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Statement of Responsibility

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