Read e-book online Differential Geometry: Bundles, Connections, Metrics and PDF

By Clifford Henry Taubes

Bundles, connections, metrics and curvature are the 'lingua franca' of recent differential geometry and theoretical physics. This booklet will provide a graduate pupil in arithmetic or theoretical physics with the basics of those objects.

Many of the instruments utilized in differential topology are brought and the elemental effects approximately differentiable manifolds, delicate maps, differential kinds, vector fields, Lie teams, and Grassmanians are all offered the following. different fabric lined comprises the elemental theorems approximately geodesics and Jacobi fields, the category theorem for flat connections, the definition of attribute sessions, and in addition an advent to complicated and Kähler geometry.

Differential Geometry makes use of a number of the classical examples from, and functions of, the topics it covers, specifically these the place closed shape expressions can be found, to deliver summary rules to existence. Helpfully, proofs are provided for the majority assertions all through. all the introductory fabric is gifted in complete and this can be the single such resource with the classical examples provided in detail.

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Read or Download Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics) PDF

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