Lecture Notes on Differentiable Manifolds

Lecture Notes on Differentiable Manifolds
by Jie Wu

Publisher: National University of Singapore 2004
Number of pages: 78

Description:
Contents: Tangent Spaces, Vector Fields in Rn and the Inverse Mapping Theorem; Topological and Differentiable Manifolds, Diffeomorphisms, Immersions, Submersions and Submanifolds; Examples of Manifolds; Fibre Bundles and Vector Bundles; Tangent Bundles and Vector Fields; Riemann Metric and Cotangent Bundles; Tensor Bundles, Tensor Fields and Differential Forms; Orientation and Integration; The Exterior Derivative and the Stokes Theorem.