**Topics in Differential Geometry**

by Peter W. Michor

**Publisher**: American Mathematical Society 2008**ISBN/ASIN**: 0821820036**ISBN-13**: 9780821820032**Number of pages**: 429

**Description**:

This book treats the 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. The layout of the material stresses naturality and functoriality from the beginning and is as coordinate-free as possible.

Download or read it online for free here:

**Download link**

(3.1MB, PDF)

## Similar books

**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.

(

**7978**views)

**Differential Geometry: Lecture Notes**

by

**Dmitri Zaitsev**-

**Trinity College Dublin**

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.

(

**7756**views)

**Differential Geometry**

by

**Balazs Csikos**-

**Eötvös Loránd University**

Contents: Basic Structures on Rn, Length of Curves; Curvatures of a Curve; Plane Curves; 3D Curves; Hypersurfaces; Surfaces in 3-dimensional space; Fundamental equations of hypersurface theory; Topological and Differentiable Manifolds; etc.

(

**8656**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.

(

**2874**views)