Manifolds

General Relativity · Part 1

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Table of Contents

  1. 1.What is a Manifold?
  2. 2.Coordinate Charts and Atlases
  3. 3.Tangent Spaces
  4. 4.Python Example: 2-Sphere Manifold
  5. 5.Fortran Example: Metric Calculations
  6. 6.Topology and Global Structure
  7. 7.1. Locally Euclidean
  8. 8.2. Hausdorff and Second Countable
  9. 9.3. Smooth Structure
  10. 10.Transition Functions

Course Context

This PDF is part of the General Relativity course on CoursesHub.World. Explore Einstein's theory of gravity as curved spacetime. Covers differential geometry, curvature tensors, Einstein field equations, classic solutions including Schwarzschild and Kerr black holes, gra...

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