The Gauss-Bonnet Theorem in Differential Geometry - From Intuition to Generalization

The Gauss-Bonnet Theorem in Differential Geometry - From Intuition to Generalization

Mathemaniac via YouTube Direct link

Generalisations

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8 of 8

Generalisations

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The Gauss-Bonnet Theorem in Differential Geometry - From Intuition to Generalization

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  1. 1 Introduction
  2. 2 Gaussian curvature
  3. 3 Intuition too hand-wavy
  4. 4 Main idea
  5. 5 Parallel transport, geodesics, holonomy
  6. 6 Gauss map preserves parallel transport
  7. 7 Adding up local contributions
  8. 8 Generalisations

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