By Clifford Henry Taubes
Many of the instruments utilized in differential topology are brought and the fundamental effects approximately differentiable manifolds, soft maps, differential kinds, 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 likewise an creation to advanced and Kähler geometry.
Differential Geometry makes use of a few of the classical examples from, and functions of, the themes it covers, specifically these the place closed shape expressions can be found, to deliver summary principles 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 one such resource with the classical examples awarded in detail.
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Extra info for Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics)
Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics) by Clifford Henry Taubes