18.950 - Differential Geometry (Spring 2018)

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

COURSE DESCRIPTION

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

RECENT UPDATE

[02.07.2018]  Welcome to the spring semester!

[02.12.2018]  Pset 1 Posted