Differential Geometry: Bundles, Connections, Metrics and by Clifford Henry Taubes

By Clifford Henry Taubes

Bundles, connections, metrics and curvature are the 'lingua franca' of contemporary differential geometry and theoretical physics. This publication 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 fundamental effects approximately differentiable manifolds, delicate maps, differential types, vector fields, Lie teams, and Grassmanians are all awarded the following. different fabric lined comprises the elemental theorems approximately geodesics and Jacobi fields, the category theorem for flat connections, the definition of attribute periods, and in addition an advent to advanced and Kähler geometry.

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

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