18.950 Differential Geometry

Class Info

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.

This class has 18.100A, 18.100B, 18.100P, 18.100Q, 18.06, 18.700, and 18.701 as prerequisites.

18.950 will be offered this semester (Spring 2018). It is instructed by B. Wilson.

Lecture occurs 9:30 AM to 11:00 AM on Mondays and Wednesdays in 2-143.

This class counts for a total of 12 credits.

You can find more information at the 18.950 Course Website site or on the 18.950 Stellar site.

MIT 18.950 Differential Geometry Related Textbooks
MIT 18.950 Differential Geometry On The Web
18.950 Course Website

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