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18.966 Geometry of Manifolds (MIT) 18.966 Geometry of Manifolds (MIT)

Description

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. 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.Subjects

Differential forms | Differential forms | Lie groups | Lie groups | DeRham | DeRham | Riemannian manifolds | Riemannian manifolds | curvature | curvature | Hodge | Hodge | Hodge theory | Hodge theory | manifolds | manifolds | Riemannian geometry | Riemannian geometry | holonomy | holonomy | symplectic geometry | symplectic geometry | complex geometry | complex geometry | Hodge-Kahler theory | Hodge-Kahler theory | smooth manifold topology | smooth manifold topologyLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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Description

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.Subjects

Differential forms | Lie groups | DeRham | Riemannian manifolds | curvature | Hodge | Hodge theory | manifolds | Riemannian geometry | holonomy | symplectic geometry | complex geometry | Hodge-Kahler theory | smooth manifold topologyLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htmSite sourced from

https://ocw.mit.edu/rss/all/mit-allcourses.xmlAttribution

Click to get HTML | Click to get attribution | Click to get URLAll metadata

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