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Apr 29, 2024
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University of Alberta Calendar 2021-2022 [ARCHIVED CATALOG]
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MATH 521 - Differential Manifolds
★ 3 (fi 6) (either term, 3-0-0) Finite dimensional manifolds/submanifolds; tangent bundle, differential, inverse, and implicit function theorems, partitions of unity; imbeddings, immersions, submersions; vector fields and associated flows; Lie derivative, Lie bracket; tensor analysis, differential forms, orientation, integration, Stokes’ theorem; basics of smooth bundle theory, Riemannian metrics; notion of a Lie group with basic examples, smooth Lie group actions, principal bundles. Prerequisite: MATH 446 or 448.
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