18.965 Geometry of Manifolds I

Class Info

Differential forms, introduction to Lie groups, the DeRham theorem, Riemannian manifolds, curvature, the Hodge theory. 18.966 is a continuation of 18.965 and focuses more deeply on various aspects of the geometry of manifolds. Contents vary from year to year, and can range from Riemannian geometry (curvature, holonomy) to symplectic geometry, complex geometry and Hodge-Kahler theory, or smooth manifold topology. Prior exposure to calculus on manifolds, as in 18.952, recommended.

This class has 18.101, 18.950, and 18.952 as prerequisites.

18.965 will be offered this semester (Fall 2018). It is instructed by W. Minicozzi.

This class counts for a total of 12 credits. This is a graduate-level class.

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MIT 18.965 Geometry of Manifolds I Related Textbooks

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