**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

**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.

(

**2837**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.

(

**12888**views)

**Course of Differential Geometry**

by

**Ruslan Sharipov**-

**Samizdat Press**

Textbook for the first course of differential geometry. It covers the theory of curves in three-dimensional Euclidean space, the vectorial analysis both in Cartesian and curvilinear coordinates, and the theory of surfaces in the space E.

(

**10789**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.

(

**12556**views)