18.950 Differential Geometry
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.
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.
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