Instructor: Bobby Wilson
Email: blwilson [at] math . mit .edu
Office: Room 2-171
Office Hours: Wednesdays 1- 3 pm, Thursdays 2-3pm
Lectures: M W 9:30 - 11:00 am 2-143
Grader: Donghao Wang
Introduction to differential geometry, centered on notions of curvature. Starts with curves in the plane, and proceeds to higher dimensional submanifolds. Computations in coordinate charts: first and second fundamental form, Christoffel symbols. Discusses the distinction between extrinsic and intrinsic aspects, in particular Gauss' theorema egregium. The Gauss-Bonnet theorem. Geodesics. Examples such as hyperbolic space.
Prerequisites: 18.100A, 18.100B, 18.100P, or 18.100Q; 18.06, 18.700, or 18.701
Text Book: "Differential Geometry of Curves and Surfaces", M. do Carmo
[02.07.2018] Welcome to the spring semester!
[02.12.2018] Pset 1 Posted