MATH 6701: Differentiable Manifolds

October 20, 2013
Differentiable manifolds; vector bundles, existence theorem for ODE, flows, sprays; vector fields, differential operators, Lie and exterior derivatives; Poincare Lemma, Darboux's Theorem; Frobenius's Theorem, Lie groups; de Rham cohomology. Prereq: Grad standing or all of 5201 (652), and either 2568 (568) or 572, and 2153.01 (254). Not open to students with credit for 765.
Credit Hours: 
3.0

Textbook

Title: 
Geometry of Differential Forms
Author: 
Morita
Publisher: 
AMS
ISBN: 
9780821810453


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