**Differential Geometry Course Notes**

by Richard Koch

**Publisher**: University of Oregon 2005**Number of pages**: 188

**Description**:

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.

Download or read it online for free here:

**Download link**

(15MB, PDF)

## Similar books

**Topics in Differential Geometry**

by

**Peter W. Michor**-

**American Mathematical Society**

Fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry.

(

**7728**views)

**Introduction to Differential Geometry and General Relativity**

by

**Stefan Waner**

Smooth manifolds and scalar fields, tangent vectors, contravariant and covariant vector fields, tensor fields, Riemannian manifolds, locally Minkowskian manifolds, covariant differentiation, the Riemann curvature tensor, premises of general relativity.

(

**17419**views)

**A Course Of Differential Geometry**

by

**John Edward Campbell**-

**Clarendon Press**

Contents: Tensor theory; The ground form when n=2; Geodesics in two-way space; Two-way space as a locus in Euclidean space; Deformation of a surface and congruences; Curves in Euclidean space and on a surface; The ruled surface; Minimal surface; etc.

(

**2743**views)

**Notes on Differential Geometry**

by

**Matt Visser**-

**Victoria University of Wellington**

In this text the author presents an overview of differential geometry. Topics covered: Topological Manifolds and differentiable structure; Tangent and cotangent spaces; Fibre bundles; Geodesics and connexions; Riemann curvature; etc.

(

**6653**views)