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Lecture Notes Riemannian Geometry By Andreas Strombergsson

Lecture Notes Riemannian Geometry By Andreas Strombergsson

Lecture Notes Riemannian Geometry By Andreas Strombergsson

This note explains the following topics: Manifolds, Tangent spaces and the tangent bundle, Riemannian manifolds, Geodesics, The fundamental group. The theorem of Seifert-van Kampen, Vector bundles, The Yang-Mills functional, Curvature of Riemannian manifolds, Jacobi Fields, Conjugate points.

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s241 Pages
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Riemannian Geometry by Shiping Liu USTC

Riemannian Geometry by Shiping Liu USTC

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Lecture     Notes Riemannian Geometry By Andreas Strombergsson

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This note explains the following topics: Manifolds, Tangent spaces and the tangent bundle, Riemannian manifolds, Geodesics, The fundamental group. The theorem of Seifert-van Kampen, Vector bundles, The Yang-Mills functional, Curvature of Riemannian manifolds, Jacobi Fields, Conjugate points.

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An     Introduction to Riemannian Geometry with Applications to Mechanics and     Relativity

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W. M. Boothby, Introduction to Differentiable Manifolds and Riemannian Geometry (djvu)

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A               Course in Riemannian Geometry(Wilkins D.R pdf)

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