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.