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Lectures on Differential Geometry

Lectures on Differential Geometry
Author: Wulf Rossmann
Url: http://www.mathstat.uottawa.ca/~rossmann/Differential Geometry book.htm
Format: Pdf
Category: Differential Geometry
Pages: 221
Clicks: 147

Contents:Chapter 1. Manifolds 1.1 Review of calculus 1.2 Manifolds:definitions and examples 1.3 Vectors and differentials 1.4 Submanifolds 1.5 Riemann metrics Chapter 2. Tensor Calculus 2.1 Tensors:definitions 2.2 Differential forms 2.3 Differential calculus 2.4 Integral calculus 2.5 Lie derivatives Chapter 3. Connections and curvature 3.1 Connections 3.2 Geodesics 3.3 Riemann curvature 3.4 Gauss curvature 3.5 Cartan’s mobile frame 3.6 Levi-Civita’s connection 3.7 Curvature identities Chapter 4. Special topics 4.1 General Relativity 4.2 Schwarzschild metric 4.3 The group SO(3) 4.4 Weyl’s gauge theory paper of 1929.

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