Download Differential Geometric Structures (Dover Books on Mathematics) PDF EPUB
Author: Walter A. Poor
Pages: 352
Size: 2.072,53 Kb
Publication Date: June 5,2007
Category: Differential Geometry
Useful for independent research and as a reference work, this introduction to differential geometry features many examples and exercises. Extra topics include the function of harmonic theory, geometric vector areas on Riemannian manifolds, Lie groupings, symmetric areas, and symplectic and Hermitian vector bundles.
The procedure opens with an introductory chapter on dietary fiber bundles that proceeds to examinations of connection theory for vector bundles and Riemannian vector bundles. It defines geometric framework by specifying the parallel transportation in an appropriate dietary fiber bundle, focusing on the easiest instances of linear parallel transportation in a vector bundle. A consideration of various other differential geometric structures concludes the written text, which includes surveys of characteristic classes of principal bundles, Cartan connections, and spin structures.