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  • R. Sharpe, Differential geometry – Cartan’s generalization of Klein’s Erlagen program, Springer (1997) Shlomo Sternberg, Lectures on differential geometry; Andreas Kriegl, Peter W. Michor, A convenient setting of global analysis, Math. Surveys and Monographs 53, Amer. Math. Soc. 1997. 618 pages, pdf
  • Lectures on Differential Geometry by S Sternberg (1964-05

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  • Differential Geometry 1 1.1 Manifolds 1 1.2 Tangent Vectors 7 1.3 Vector Fields, Integral Curves, and Flows 17 1.4 Tensors and Tensor Fields on Manifolds 24 1.5 The Action of Smooth Maps on Tensor Fields 35 1.6 Lie Derivatives 42 1.7 Derivative Operators and Geodesics 49 1.8 Curvature 68 1.9 Metrics 74 1.10 Hypersurfaces 94 1.11 Volume Elements
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  • Lectures on Differential Geometry

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Differentiable Manifolds | Lectures on Differential Geometry

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Lectures on Differential Geometry - International Press

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