Differentiable manifolds

Oliva W.M.

Table of contents :
1 Differentiable manifolds……Page 1
1.1 Embedded manifolds in ${mathbb {R}}^N$……Page 2
1.2 The tangent space……Page 5
1.3 The derivative of a differentiable function……Page 6
1.5 Discontinuous action of a group on a manifold……Page 7
1.6 Immersions and embeddings. Submanifolds……Page 9
1.7 Partition of unity……Page 10