Honors Differential Geometry – Semester 1, 2017

Information

Instructors: Andy Hammerlindl and Todd Oliynyk


Rough unit guide


As the first half of the course is concluded, this site will no longer be regularly maintained.

Assignments

  1. The chain rule
  2. Projective space
  3. Tangent spaces
  4. Bump functions
  5. Connections

All further assignments will be posted by Todd Oliynyk and not posted here.

Andy's Rough Scanned Notes

  1. Intro in R^n
  2. Manifolds and bump functions
  3. The tangent space
  4. The tangent bundle
  5. Submanifolds
  6. Vector fields
  7. The cotangent bundle
  8. Change of coordinates
  9. Connections
  10. Riemannian manifolds
  11. Geodesics

Todd's Notes from Yesteryear

  1. Lecture 0
  2. Lecture 1
  3. Lecture 2
  4. Lecture 3
  5. Lecture 4