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

18.950 will be offered this semester (Fall 2018). It is instructed by N. Edelen.

Lecture occurs 9:30 AM to 11:00 AM on Mondays and Wednesdays in 2-146.

This class counts for a total of 12 credits.

You can find more information at the MIT + 18.950 - Google Search site or on the 18.950 Stellar site.

Required Textbooks
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MIT 18.950 Differential Geometry Related Textbooks
MIT 18.950 Differential Geometry On The Web

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