Differential Geometric Structures (Dover Books on by Walter A. Poor PDF

By Walter A. Poor

Useful for self sufficient research and as a reference paintings, this creation to differential geometry beneficial properties many examples and routines. It defines geometric constitution by way of specifying the parallel shipping in a suitable fiber package, concentrating on the easiest instances of linear parallel delivery in a vector bundle.
The remedy opens with an introductory bankruptcy on fiber bundles that proceeds to examinations of connection thought for vector bundles and Riemannian vector bundles. extra themes contain the function of harmonic conception, geometric vector fields on Riemannian manifolds, Lie teams, symmetric areas, and symplectic and Hermitian vector bundles. A attention of alternative differential geometric buildings concludes the textual content, together with surveys of attribute sessions of imperative bundles, Cartan connections, and spin structures.

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Differential Geometric Structures (Dover Books on Mathematics) by Walter A. Poor

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