Differential Geometry Class Notes
A Course in Differential Geometry, by Thierry Aubin,
Graduate Studies in Mathematics
American Mathematical Society (2000).

Copies of the classnotes are on the internet in PDF format as given below. The "Proofs of Theorems" files were prepared in Beamer and they contain proofs of the results from the class notes. The "Printout of Proofs" are printable PDF files of the Beamer slides without the pauses. These notes and supplements have not been classroom tested (and so may have some typographical errors).

  1. Chapter 0. Background Material.
  2. Chapter 1. Differentiable Manifolds.
  3. Chapter 2. Tangent Space.
  4. Chapter 3. Integration of Vector Fields and Differential Forms.
  5. Chapter 4. Linear Connections.
  6. Chapter 5. Riemannian Manifolds.

Chapter 0. Background Material.

Chapter 1. Differentiable Manifolds.

Chapter 2. Tangent Space.

Chapter 3. Integration of Vector Fields and Differential Forms.

Chapter 4. Linear Connections.

Chapter 5. Riemannian Manifolds.


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