**Differential Geometry: Lecture Notes**

by Dmitri Zaitsev

**Publisher**: Trinity College Dublin 2004**Number of pages**: 49

**Description**:

From the table of contents: Chapter 1. Introduction to Smooth Manifolds; Chapter 2. Basic results from Differential Topology; Chapter 3. Tangent spaces and tensor calculus; Tensors and differential forms; Chapter 4. Riemannian geometry.

Download or read it online for free here:

**Download link**

(290KB, PDF)

## Similar books

**Elementary Differential Geometry**

by

**Gilbert Weinstein**-

**UAB**

These notes are for a beginning graduate level course in differential geometry. It is assumed that this is the students' first course in the subject. Thus the choice of subjects and presentation has been made to facilitate a concrete picture.

(

**8311**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.

(

**6005**views)

**Differential Geometry: A First Course in Curves and Surfaces**

by

**Theodore Shifrin**-

**University of Georgia**

Contents: Curves (Examples, Arclength Parametrization, Frenet Frame); Surfaces: Local Theory (Parametrized Surfaces, Gauss Map, Covariant Differentiation, Parallel Translation, Geodesics); Surfaces: Further Topics (Holonomy, Hyperbolic Geometry,...).

(

**2526**views)

**Lectures on Differential Geometry**

by

**Wulf Rossmann**-

**University of Ottawa**

This is a collection of lecture notes which the author put together while teaching courses on manifolds, tensor analysis, and differential geometry. He offers them to you in the hope that they may help you, and to complement the lectures.

(

**7230**views)