Riemannian Geometry of Contact and Symplectic Manifolds
Riemannian Geometry of Contact and Symplectic Manifolds
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DOI：
10.1007/978-0-8176-4959-3
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发表时间：
2002-01
期刊：
影响因子：
--
通讯作者：
D. Blair
中科院分区：
文献类型：
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作者：
D. Blair
这第二版，分为十四章，提出了一个从黎曼观点的接触和辛流形的全面处理。这本专著详细地考察了基本思想，并为读者提供了许多说明性的例子。黎曼接触几何和辛流形，第二版在大多数章节中提供了新的材料，但特别强调接触流形。新的主要主题包括复测地线流和投影化全纯切丛的伴随几何，以及第11章中讨论的真实情况下特殊方向的一个复版本。这两个主题都利用了伊蒂安·盖斯关于全纯阿诺索夫流的吸引人的概念。
This second edition, divided into fourteen chapters, presents a comprehensive treatment of contact and symplectic manifolds from the Riemannian point of view. The monograph examines the basic ideas in detail and provides many illustrative examples for the reader.Riemannian Geometry of Contact and Symplectic Manifolds, Second Edition provides new material in most chapters, but a particular emphasis remains on contact manifolds. New principal topics include a complex geodesic flow and the accompanying geometry of the projectivized holomorphic tangent bundle and a complex version of the special directions discussed in Chapter 11 for the real case. Both of these topics make use of Étienne Ghys's attractive notion of a holomorphic Anosov flow.