**Symplectic Geometry**

by Ana Cannas da Silva

**Publisher**: Princeton University 2004**Number of pages**: 109

**Description**:

This is an overview of symplectic geometry – the geometry of symplectic manifolds. From a language for classical mechanics in the XVIII century, symplectic geometry has matured since the 1960’s to a rich and central branch of differential geometry and topology. A current survey can thus only aspire to give a partial flavor on this exciting field.

Download or read it online for free here:

**Download link**

(840KB, PDF)

## Similar books

**Tight and Taut Submanifolds**

by

**Thomas E. Cecil, Shiing-shen Chern**-

**Cambridge University Press**

Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six articles by leading experts in the field.

(

**6339**views)

**Differential Topology and Morse Theory**

by

**Dirk Schuetz**-

**University of Sheffield**

These notes describe basic material about smooth manifolds (vector fields, flows, tangent bundle, partitions of unity, Whitney embedding theorem, foliations, etc...), introduction to Morse theory, and various applications.

(

**5809**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.

(

**5694**views)

**Lecture Notes on Differentiable Manifolds**

by

**Jie Wu**-

**National University of Singapore**

Contents: Tangent Spaces, Vector Fields in Rn and the Inverse Mapping Theorem; Topological and Differentiable Manifolds, Diffeomorphisms, Immersions, Submersions and Submanifolds; Examples of Manifolds; Fibre Bundles and Vector Bundles; etc.

(

**7383**views)