内容简介

本书是美国著名数学家Shlomo Sternberg于2010年在清华大学教授辛几何的讲义，分为两个部分。

第一部分（第1章~第10章）介绍了辛群、辛范畴、辛流形和Kostant-Souriau定理等内容。

第二部分（第11章~第16章）分别讨论了Marle常秩嵌入定理、环面作用的凸性定理、Hamiltonian线性化定理和极小偶对。

本书可供从事辛几何和微分几何相关领域研究的学者参考，也可作为高年级本科生和研究生的教材和参考书。1

图书目录

第1章导论和背景知识······················································································1

1.1

一些历史································································································1

1.1.1Hamilton····················································································1

1.1.2Jacobi·························································································2

1.1.3Lie······························································································3

1.1.4Cartan························································································4

1.2

线性辛几何····························································································5

1.2.1

辛向量空间·················································································5

1.2.2

基本例子····················································································6