**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

**Differential Geometry Of Three Dimensions**

by

**C.E. Weatherburn**-

**Cambridge University Press**

The book is devoted to differential invariants for a surface and their applications. By the use of vector methods the presentation is both simplified and condensed, and students are encouraged to reason geometrically rather than analytically.

(

**10614**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.

(

**23120**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.

(

**7450**views)

**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.

(

**19280**views)