By Walter A. Poor

Useful for autonomous examine and as a reference paintings, this advent to differential geometry good points many examples and routines. It defines geometric constitution by way of specifying the parallel delivery in a suitable fiber package, targeting the easiest situations of linear parallel shipping in a vector bundle.
The therapy opens with an introductory bankruptcy on fiber bundles that proceeds to examinations of connection idea for vector bundles and Riemannian vector bundles. extra subject matters comprise the function of harmonic thought, geometric vector fields on Riemannian manifolds, Lie teams, symmetric areas, and symplectic and Hermitian vector bundles. A attention of alternative differential geometric constructions concludes the textual content, together with surveys of attribute periods of crucial bundles, Cartan connections, and spin structures.

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