An introduction to differentiable manifolds. The tangent and cotangent bundles. Vector fields and differential forms. The Lie bracket and Lie derivative of vector fields. Exterior differentiation, integration of differential forms, and Stokes’s Theorem. Riemannian manifolds, affine connections, and the Riemann curvature tensor. [Note: Offered in the Winter of even years.] Prereq: AMATH 333/PMATH 365; Not open to General Mathematics students
