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    • Seminars
      • Algebra
        • Associative Rings
          • Ariki-Koike Algebras
          • Cluster Algebras
          • Group Rings
          • Hecke Algebras
          • KLR Algebras
          • Schur Algebras
        • Commutative Algebra
        • Fusion Systems
        • Group Theory
          • Abelian Groups
          • Algebraic Groups
          • Combinatorial Group Theory
          • Computational Group Theory
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          • Geometric Group Theory
          • Infinite Groups
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          • Permutation Groups
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          • Representations of Lie Algebras
          • Representations of Symmetric Groups
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        • Functional Analysis
        • Harmonic Analysis
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          • Associative Rings
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          • Fusion Systems
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            • Abelian Groups
            • Algebraic Groups
            • Combinatorial Group Theory
            • Computational Group Theory
            • Finite Groups
            • Geometric Group Theory
            • Infinite Groups
            • Lie Groups
            • Permutation Groups
          • Lie Theory
            • Algebraic Groups
            • Lie Algebras
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            • p-Adic Groups
            • Representations of Algebraic Groups
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            • Jordan and Axial Algebras
            • Lie Algebras
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            • Representations of Lie Algebras
            • Representations of Symmetric Groups
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      Differential geometry (Lindemann)

      David Lindemann: Differential Geometry, III. Tangent spaces 1

      27th April, 2020
      Watch LaterRemove Cinema Mode

      The previous video in the series is here. The next video in the series is here.

      This video was produced by David Lindemann for Universität Hamburg. More information about this course can be found here.

      In This Lecture Course

      • David Lindemann: Differential Geometry, I. Smooth manifolds
      • David Lindemann: Differential Geometry, II. Smooth maps and the IFT
      • David Lindemann: Differential Geometry, III. Tangent spaces 1
      • David Lindemann: Differential Geometry, IV. Tangent spaces 2
      • David Lindemann: Differential Geometry, V. Submanifolds
      • David Lindemann: Differential Geometry, VI. Vector bundles
      • David Lindemann: Differential Geometry, VII. The tangent bundle
      • David Lindemann: Differential Geometry, VIII. Lie bracket of vector fields, integral curves, flows
      • David Lindemann: Differential Geometry, IX. Infinitesimal generators of one parameter groups of diffeomorphisms and the Lie derivative of vector fields
      • David Lindemann: Differential Geometry, X. Dual bundles, 1-forms, and the Whitney sum
      • David Lindemann: Differential Geometry, XI. Tensor bundles and tensor fields
      • David Lindemann: Differential Geometry, XII. Pseudo-Riemannian manifolds
      • David Lindemann: Differential Geometry, XIII. Traces, raising and lowering indices, vector bundles along pseudo-Riemannian submanifold
      • David Lindemann: Differential Geometry, XIV. Local frames and Killing vector fields
      • David Lindemann: Differential Geometry, XV. Connections in vector bundles
      • David Lindemann: Differential Geometry, XVI. Parallel transport and the Levi-Civita connection
      • David Lindemann: Differential Geometry, XVII. Geodesics and the exponential map
      • David Lindemann: Differential Geometry, XVIII. Curvature
      • David Lindemann: Differential Geometry, XIX. Geodesics and curvature of pseudo-Riemannian submanifolds

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