MATH 6520 - Differentiable Manifolds I

James West, fall 2015.

Smooth manifolds and functions, tangent and cotangent bundle, submanifolds and normal bundles, embedding and approximation, flows, Lie derivative, foliations and Frobenius theorem, tensors, differential forms, exterior derivative, integration, de Rham cohomology.

Text: Introduction to Smooth Manifolds by John Lee (Springer GTZM vol 218).