rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Geometrical Themes Inspired by the N-body Problem
  name:
    name part: Hernández-Lamoneda, Luis.
    role:
      role term: editor.
    role:
      role term: edt
    role:
      role term: http://id.loc.gov/vocabulary/relators/edt
  name:
    name part: Herrera, Haydeé.
    role:
      role term: editor.
    role:
      role term: edt
    role:
      role term: http://id.loc.gov/vocabulary/relators/edt
  name:
    name part: Herrera, Rafael.
    role:
      role term: editor.
    role:
      role term: edt
    role:
      role term: http://id.loc.gov/vocabulary/relators/edt
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VII, 128 p. 26 illus., 7 illus. in color. online resource.
  abstract: 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from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.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 the minimal number of non-degenerate fixed points of a Hamiltonian diffeomorphism.
  note: edited by Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera.
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Calculus of variations
  subject:
    topic: Differential equations
  subject:
    topic: Geometry
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Complex manifolds
  subject:
    topic: Dynamical Systems and Ergodic Theory
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Ordinary Differential Equations
  subject:
    topic: Geometry
  subject:
    topic: Manifolds and Cell Complexes (incl. Diff.Topology)
  classification: QA313
  classification: 515.39
  classification: 515.48
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 2204
  identifier: 9783319714288
  identifier: https://doi.org/10.1007/978-3-319-71428-8
  record info:
    record creation date: 180226
    record change date: 20191025041123.0
    record identifier: 978-3-319-71428-8