**Differentiable Manifolds**

by Nigel Hitchin

2003**Number of pages**: 94

**Description**:

This is an introductory course on differentiable manifolds. One of the historical driving forces of the theory of manifolds was General Relativity, where the manifold is four-dimensional spacetime, wormholes and all. A large part of the text is occupied with the theory of differential forms and the exterior derivative.

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**Differential Topology and Morse Theory**

by

**Dirk Schuetz**-

**University of Sheffield**

These notes describe basic material about smooth manifolds (vector fields, flows, tangent bundle, partitions of unity, Whitney embedding theorem, foliations, etc...), introduction to Morse theory, and various applications.

(

**7528**views)

**Lecture Notes on Differentiable Manifolds**

by

**Jie Wu**-

**National University of Singapore**

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; etc.

(

**8927**views)

**Lectures on Symplectic Geometry**

by

**Ana Cannas da Silva**-

**Springer**

An introduction to symplectic geometry and topology, it provides a useful and effective synopsis of the basics of symplectic geometry and serves as the springboard for a prospective researcher. The text is written in a clear, easy-to-follow style.

(

**11677**views)

**Tight and Taut Submanifolds**

by

**Thomas E. Cecil, Shiing-shen Chern**-

**Cambridge University Press**

Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six articles by leading experts in the field.

(

**7955**views)