MATH 641-2
Differential Geometry I-II
(Updated Spring 2013)
News
This class is over.
General Information
Math Stuff
Exams and Additional Problems
Homework Assignments - Math 642
Homework Assignments - Math 641
- week1.pdf (Stereographic projection, differentiable maps)
- week2.pdf (Derivatives, inverse function theorem)
- week3.pdf (Manifolds, diffeomorphisms),
solution to problem 5
- week4.pdf (Projective space, partition of unity, group actions),
solution to problem 4
- week5.pdf (Group actions)
- week6.pdf (Tangent vectors)
- week7.pdf (Tangent maps, tangent bundles)
- week8-9.pdf (Vector fields, vector bundles),
solution to problem 1,
problems 2 and 3
- week10.pdf (Regular submanifolds, critical values, submersions). Most of the solutions
- week11.pdf (Immersions, embeddings, Sard's Theorem). Solutions.
- week12.pdf (Embeddings, Transversality)
Solutions.
- week13.pdf (Lie Bracket, Curves in R^{3})
- week14.pdf (Orientability, Shape operator)
Solutions.