**Contact Geometry**

by Hansjoerg Geiges

**Publisher**: arXiv 2004**Number of pages**: 86

**Description**:

This is an introductory text on the more topological aspects of contact geometry, written for the Handbook of Differential Geometry vol. 2. After discussing (and proving) some of the fundamental results of contact topology (neighbourhood theorems, isotopy extension theorems, approximation theorems), I move on to a detailed exposition of the original proof of the Lutz-Martinet theorem.

Download or read it online for free here:

**Download link**

(730KB, PDF)

## Similar books

**Symplectic Geometry**

by

**Ana Cannas da Silva**-

**Princeton University**

An overview of symplectic geometry – the geometry of symplectic manifolds. From a language of classical mechanics, symplectic geometry became a central branch of differential geometry and topology. This survey gives a partial flavor on this field.

(

**8903**views)

**Ricci Flow and the Poincare Conjecture**

by

**John Morgan, Gang Tian**-

**American Mathematical Society**

This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's preprints. The book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology.

(

**8213**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.

(

**13442**views)

**Introduction to Differential Topology**

by

**Uwe Kaiser**-

**Boise State University**

This is a preliminary version of introductory lecture notes for Differential Topology. We try to give a deeper account of basic ideas of differential topology than usual in introductory texts. Many examples of manifolds are worked out in detail.

(

**6592**views)