| 书目名称 | Geometrical Themes Inspired by the N-body Problem |
| 编辑 | Luis Hernández-Lamoneda,Haydeé Herrera,Rafael Herr |
| 视频video | |
| 概述 | Perfectly suited for young researchers who want to become acquainted with this important field and its open problems.Contains a very timely exposition of the state of the art on the subject, with an e |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | Presenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references...A. Guillot’s notes aim to describe differential equations in the complex domain, motivated by the evolution of N particles moving on the plane subject to the influence of a magnetic field. Guillot studies such differential equations using different geometric structures on complex curves (in the sense of W. Thurston) in order to find isochronicity conditions. ..R. Montgomery’s notes deal with a version of the planar Newtonian three-body equation. Namely, he investigates the problem of whether every free homotopy class is realized by a periodic geodesic. The solution involves geometry, dynamical systems, and the McGehee blow-up.A novelty of the approach is the use of energy-balance in order to motivate the McGehee transformation. ..A. Pedroza’s notes provide a brief introduction to Lagrangian Floer homology and its relation to the solution of the Arnol’d conjecture on |
| 出版日期 | Book 2018 |
| 关键词 | N-body problem; Complex differential equations; Isochronous solutions; Free homotopy classes of loops; M |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-71428-8 |
| isbn_softcover | 978-3-319-71427-1 |
| isbn_ebook | 978-3-319-71428-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer International Publishing AG 2018 |
发表于 2025-3-21 16:12:34
