**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

**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.

(

**5665**views)

**Tensor Analysis**

by

**Edward Nelson**-

**Princeton Univ Pr**

The lecture notes for the first part of a one-term course on differential geometry given at Princeton in the spring of 1967. They are an expository account of the formal algebraic aspects of tensor analysis using both modern and classical notations.

(

**12644**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.

(

**12348**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.

(

**7979**views)