Welcome To Differentiable Manifolds
110.748, Spring 2009
Email: hhezari@math.jhu.edu.
Classes: Friday 3:30pm-5pm, Krieger 204
Textbooks:
Main Textbook: Differentiable Manifolds by Nigel Hitchin. Online notes available at http://people.maths.ox.ac.uk/~hitchin/hitchinnotes/hitchinnotes.html
Other books (the homeworks
are mostly assigned from the exercises of these books):
1. Differential Topology by Guillemin and Pollack
2. Foundations of differential manifolds and Lie groups by Warner
Syllabus: This course will roughly include: manifolds, differentiable maps between manifolds, embeddings, tangent and cotangent bundles, vector fields and differential forms, integrations on manifolds, Stokes theorem, de Rham cohomology, and some Riemannian geometry (if time permits) such as metrics, connections, isometries, geodesics, gradient, divergence and Laplacian.