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May 16, 2024
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University of Alberta Calendar 2024-2025
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MATH 521 - Differential Manifolds
Course Career Graduate
Units 3
Approved Hours 3-0-0
Fee index 6
Faculty Science
Department Mathematical & Statistical Sci
Typically Offered either term
Description
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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