Differential Geometry

39 posts

Lecture notes for a two-semester course on Differential Geometry. Topics covered include: smooth manifolds, vector bundles, differential forms, connections, Riemannian geometry.

28. Connections

Published 2 days ago

Differential Geometry

Problem Sheet K

Published 2 months ago

Differential Geometry

27. The Poincaré Lemma and the de Rham Theorem

Published 2 months ago

Differential Geometry

26. Stokes' Theorem

Published 2 months ago

Differential Geometry

Problem Sheet J

Published 2 months ago

Differential Geometry

25. Smooth Singular Cubes

Published 2 months ago

Differential Geometry

24. Orientability and Manifolds With Boundary

Published 3 months ago

Differential Geometry

23. The Exterior Differential

Published 3 months ago

Differential Geometry

22. The Lie Derivative Revisited

Published 3 months ago

Differential Geometry

Problem Sheet I

Published 3 months ago

Differential Geometry

21. Tensor fields

Published 3 months ago

Differential Geometry

20. Sections of Vector Bundles

Published 3 months ago

Differential Geometry

Problem Sheet H

Published 3 months ago

Differential Geometry

19. Tensor and Exterior algebras

Published 3 months ago

Differential Geometry

18. Associated Bundles

Published 3 months ago

Differential Geometry

17. The Fibre Bundle Construction Theorem

Published 3 months ago

Differential Geometry

Problem Sheet G

Published 3 months ago

Differential Geometry

16. Bundles

Published 3 months ago

Differential Geometry

15. Foliations and the Frobenius Theorem

Published 4 months ago

Differential Geometry

14. Distributions and Integrability

Published 4 months ago

Differential Geometry

Problem Sheet F

Published 4 months ago

Differential Geometry

13. Homogeneous Spaces

Published 4 months ago

Differential Geometry

12. Smooth Actions of Lie Groups

Published 4 months ago

Differential Geometry

Problem Sheet E

Published 4 months ago

Differential Geometry

11. The Lie Algebra of a Lie Group

Published 4 months ago

Differential Geometry

10. Lie groups

Published 4 months ago

Differential Geometry

9. Flows

Published 4 months ago

Differential Geometry

8. Vector fields

Published 4 months ago

Differential Geometry

Problem Sheet D

Published 4 months ago

Differential Geometry

7. The Whitney Theorems

Published 5 months ago

Differential Geometry

6. Submanifolds

Published 5 months ago

Differential Geometry

Problem Sheet C

Published 5 months ago

Differential Geometry

5. The Tangent Bundle

Published 5 months ago

Differential Geometry

4. The Derivative

Published 5 months ago

Differential Geometry

Problem Sheet B

Published 5 months ago

Differential Geometry

3. Partitions of Unity

Published 5 months ago

Differential Geometry

Problem Sheet A

Published 5 months ago

Differential Geometry

2. Tangent Spaces

Published 5 months ago

Differential Geometry

1. Smooth Manifolds

Published 5 months ago

Differential Geometry

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