Differential Geometric Structures

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Differential Geometric Structures by Walter A. Poor, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Walter A. Poor ISBN: 9780486151915
Publisher: Dover Publications Publication: April 27, 2015
Imprint: Dover Publications Language: English
Author: Walter A. Poor
ISBN: 9780486151915
Publisher: Dover Publications
Publication: April 27, 2015
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book A Modern Herbal, Vol. I by Walter A. Poor
Cover of the book Quick Sketching by Walter A. Poor
Cover of the book Les Miserables by Walter A. Poor
Cover of the book The Analysis of Beauty by Walter A. Poor
Cover of the book Solution of Certain Problems in Quantum Mechanics by Walter A. Poor
Cover of the book Gymnopédies, Gnossiennes and Other Works for Piano by Walter A. Poor
Cover of the book Star Names by Walter A. Poor
Cover of the book Treasury of Japanese Designs and Motifs for Artists and Craftsmen by Walter A. Poor
Cover of the book The Horse in Magic and Myth by Walter A. Poor
Cover of the book Easy-to-Make Dollhouse Quilts by Walter A. Poor
Cover of the book The Trojan Women and Hippolytus by Walter A. Poor
Cover of the book Old-Fashioned Ribbon Trimmings and Flowers by Walter A. Poor
Cover of the book The History of Rome by Walter A. Poor
Cover of the book A Short History of Science to the Nineteenth Century by Walter A. Poor
Cover of the book The Adventures of Peter Cottontail by Walter A. Poor
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy