可控Reeb动力学——不在Cala Gonone的三堂课

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2019-01-01 DOI:10.1515/coma-2019-0006

H. Geiges

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引用次数: 3

摘要

摘要这些是基于2018年6月在撒丁岛卡利亚里举行的RIEMain in Contact会议上的一个迷你课程的笔记。主要主题是Reeb动力学和拓扑之间的联系。讨论的主题包括Reeb流的陷阱、Hamiltonian流的塞子、Weinstein猜想、具有有限个周期轨道的Reeb流以及Reeb流截面的全局表面。重点是构造方法，例如Boothby-Wang束中的接触切割和提升群动作，这可能对接触拓扑中的其他应用有用。

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Controlled Reeb dynamics — Three lectures not in Cala Gonone

Abstract These are notes based on a mini-course at the conference RIEMain in Contact, held in Cagliari, Sardinia, in June 2018. The main theme is the connection between Reeb dynamics and topology. Topics discussed include traps for Reeb flows, plugs for Hamiltonian flows, the Weinstein conjecture, Reeb flows with finite numbers of periodic orbits, and global surfaces of section for Reeb flows. The emphasis is on methods of construction, e.g. contact cuts and lifting group actions in Boothby–Wang bundles, that might be useful for other applications in contact topology.

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.