Introduction to differentiable manifolds and symplectic geometry (Q2751072)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Introduction to differentiable manifolds and symplectic geometry |
scientific article; zbMATH DE number 1664354
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Introduction to differentiable manifolds and symplectic geometry |
scientific article; zbMATH DE number 1664354 |
Statements
26 February 2002
0 references
symplectic geometry
0 references
Hamiltonian mechanics
0 references
differentiable manifold
0 references
Lie group
0 references
vector bundle
0 references
tangent bundle
0 references
Hamiltonian dynamical systems
0 references
Introduction to differentiable manifolds and symplectic geometry (English)
0 references
As the title of this paper says, the author presents an elementary introduction to symplectic geometry. He starts with a motivation of the Hamiltonian approach to mechanics. In order to introduce the symplectic geometry, he develops in the chapters 1 and 2 multilinear algebra and symplectic algebra, as well as the theory of finite dimensional manifolds. More precisely, the notions of differentiable manifold, Lie group, vector bundle, tangent bundle and the calculus of differential forms on manifolds are exhibited. The last chapter is dedicated to the study of the symplectic geometry and Hamiltonian dynamical systems.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00053].
0 references
