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18.966 Geometry of Manifolds | Mathematics

This is a second-semester graduate course on the geometry of manifolds. The main emphasis is on the geometry of symplectic manifolds, but the material also includes long digressions into complex geometry and the geometry of 4-manifolds, with special emphasis on topological considerations.

Keywords:: Riemannian manifolds, manifolds, Topology and Geometry, Differential Equations, Differential forms, symplectic geometry, curvature, Hodge-Kahler theory, Lie groups, Hodge, Riemannian geometry, smooth manifold topology, Hodge theory, DeRham, complex geometry, holonomy, Linear Algebra

Disciplines:

Mathematics and Statistics / Mathematics

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More about this material

Material Type:: Online Course
Date Added to MERLOT:: May 12, 2016
Date Modified in MERLOT:: May 12, 2016
Author:: Unknown (Know the author?)
Submitter:: Barbra Bied Sperling

Primary Audience:: Graduate School
Technical Format:: Website
Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: No
Accessibility Information Available:: Unknown
Creative Commons:: This work is licensed under a Attribution-NonCommercial-ShareAlike 3.0 United States