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Holomorphic curves and global questions in contact geometry
- 作者： Abbas, Casim, author.
- 其他作者：
- 其他題名：
- Birkhauser advanced texts basler lehrbucher.
- 出版： Cham : Springer International Publishing :Imprint: Birkhauser
- 叢書名： Birkhauser advanced texts basler lehrbucher,
- 主題： Holomorphic functions. , Symplectic geometry. , Differential Geometry. , Global Analysis and Analysis on Manifolds. , Dynamical Systems and Ergodic Theory. , Several Complex Variables and Analytic Spaces.
- ISBN： 9783030118037 (electronic bk.) 、 9783030118020 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: An Introduction to Contact Geometry -- Basic Results -- Surfaces in Three Dimensional Contact Manifolds -- Finite Energy Planes and Periodic Orbits -- Properties of Pseudoholomorphic Curves -- Intersection Theory for Pseudoholomorphic Disks -- Local Existence and Global Uniqueness Results -- Bubbling-off in Families of Pseudoholomorphic Disks -- Disk Filling Methods and Applications.
- 摘要註: This book explains the foundations of holomorphic curve theory in contact geometry. By using a particular geometric problem as a starting point the authors guide the reader into the subject. As such it ideally serves as preparation and as entry point for a deeper study of the analysis underlying symplectic field theory. An introductory chapter sets the stage explaining some of the basic notions of contact geometry and the role of holomorphic curves in the field. The authors proceed to the heart of the material providing a detailed exposition about finite energy planes and periodic orbits (chapter 4) to disk filling methods and applications (chapter 9) The material is self-contained. It includes a number of technical appendices giving the geometric analysis foundations for the main results, so that one may easily follow the discussion. Graduate students as well as researchers who want to learn the basics of this fast developing theory will highly appreciate this accessible approach taken by the authors.
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讀者標籤：
- 系統號： 005450505 | 機讀編目格式
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