Instructor: Brian Osserman

Lectures: MWF 11:00-11:50am, Bainer 1128

CRN: 69613

Office: MSB 3218, e-mail:

Office Hours: Tu 11:00-12:00, W 4:00-5:00

Prerequisites: Math 239, Math 201A. Math 250AB recommended.

Textbook: do Carmo, Riemannian Geometry

Syllabus: We will cover the basics of the geometry that one encounters when one has a metric or connection on a differentiable manifold. See also the department syllabus.

Grading: 75% homework, 25% takehome final exam

Homework: Homework will be assigned roughly weekly

Homework assignments will be posted here as the course progresses.

Problem sets will be posted here on Fridays, due the following Friday in class. You are encouraged to collaborate with other students, as long as you do not simply copy their answers.

• Problem set #1, due 10/8: Read Chapter 0. Then do exercises 1, 2, 4, 5, 11.
  Comments on problem set #1.
• Problem set #2, due 10/15: Exercises 1, 2 of Chapter 1, and exercises 2 (is this true for any affine connection on a differentiable manifold?), 3, 4, 8 of Chapter 2.
  Comments on problem set #2.
• Problem set #3, due 10/24: Exercise 7 of Chapter 2, and exercises 1 and 2 of Chapter 3.
  Comments on problem set #3.
• Problem set #4, due 10/31: Exercises 4, 5, 6 and 7 of Chapter 3.
  Solutions to problem set #4 (exercises 4 and 7).
• Problem set #5, due 11/7: Exercises 5 and 6 of Chapter 3, and exercises 2 and 3 of Chapter 4.
  Solutions to problem set #5.
• Problem set #6, due 11/14: Exercises 4, 6, 7, 8 and 10 of Chapter 4.
  Comments on problem set #6.
• Problem set #7, due 11/21: Exercises 1, 3 and 5 of Chapter 5.