## MATH-GA 2350.001 DIFFERENTIAL GEOMETRY I

Fall 2016, Mon 1:25pm-3:15pm, WWH 202

Office hours : by appointment

Reference: Jeffrey M. Lee, Manifolds and Differential Geometry

Topics include: Differentiable manifolds, Tangent bundle, embedding theorems, Fiber bundles, Vector Fields, Derivations, Lie groups and homogeneous spaces, Differential Forms, Poincare Duality, Introduction to Riemannian metrics, connections and geodesics

### Homework

- Homework after the lectures on September, 12, 2016 and September 19, 2016.
- Homework after the lecture on September, 26, 2016.
- Homework after the lecture on October, 3, 2016.
- Homework after the lecture on October, 17, 2016.
- Homework after the lecture on October, 31, 2016.
- Homework after the lecture on November, 7, 2016.
- Homework after the lecture on November, 14, 2016, a note on the construction of exterior derivative.
- Homework after the lecture on November, 21, 2016.
- Homework after the lecture on November, 28, 2016.
- Final exam and solutions