**Notes on Differential Geometry**

by Matt Visser

**Publisher**: Victoria University of Wellington 2011**Number of pages**: 246

**Description**:

In this text the author presents an overview of differential geometry, also known as the theory of manifolds. Topics covered: Topological Manifolds and differentiable structure; Tangent and cotangent spaces; Fibre bundles; Geodesics and connexions; Riemann curvature; Exterior differential forms; Lie derivatives; etc.

Download or read it online for free here:

**Download link**

(1.6MB, PDF)

## Similar books

**Differential Geometry in Physics**

by

**Gabriel Lugo**-

**University of North Carolina at Wilmington**

These notes were developed as a supplement to a course on Differential Geometry at the advanced undergraduate level, which the author has taught. This texts has an early introduction to differential forms and their applications to Physics.

(

**12182**views)

**Notes on Differential Geometry**

by

**Noel J. Hicks**-

**Van Nostrand**

A concise introduction to differential geometry. The ten chapters of Hicks' book contain most of the mathematics that has become the standard background for not only differential geometry, but also much of modern theoretical physics and cosmology.

(

**7771**views)

**Differentiable Manifolds**

by

**Nigel Hitchin**

The historical driving force of the theory of manifolds was General Relativity, where the manifold is four-dimensional spacetime, wormholes and all. This text is occupied with the theory of differential forms and the exterior derivative.

(

**12191**views)

**Differential Geometry Course Notes**

by

**Richard Koch**-

**University of Oregon**

These are differential geometry course notes. From the table of contents: Preface; Curves; Surfaces; Extrinsic Theory; The Covariant Derivative; The Theorema Egregium; The Gauss-Bonnet Theorem; Riemann's Counting Argument.

(

**6339**views)