Introduction to differentiable manifolds and symplectic geometry
type: Item
instance of: scholarly article
zbMATH Open document ID: 1009.53001
author: Tilmann Wurzbacher
publication date: 2002-02-26T00:00:00Z
Mathematics Subject Classification ID: 53-01
Mathematics Subject Classification ID: 53D05
Mathematics Subject Classification ID: 58-01
Mathematics Subject Classification ID: 70-01
Mathematics Subject Classification ID: 58A05
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 1664354
zbMATH Keywords: symplectic geometry
zbMATH Keywords: Hamiltonian mechanics
zbMATH Keywords: differentiable manifold
zbMATH Keywords: Lie group
zbMATH Keywords: vector bundle
zbMATH Keywords: tangent bundle
zbMATH Keywords: Hamiltonian dynamical systems
MaRDI profile type: Publication
title: Introduction to differentiable manifolds and symplectic geometry
review text: 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].
reviewed by: Edith Padrón
description: scientific article; zbMATH DE number 1664354