The Resource Geometrical Themes Inspired by the N-body Problem, edited by Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera, (electronic resource)

Geometrical Themes Inspired by the N-body Problem, edited by Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera, (electronic resource)

Label
Geometrical Themes Inspired by the N-body Problem
Title
Geometrical Themes Inspired by the N-body Problem
Statement of responsibility
edited by Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera
Contributor
Editor
Provider
Subject
Language
eng
Summary
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from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.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
Member of
Image bit depth
0
LC call number
QA313
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Hernández Lamoneda, L.
  • Herrera, Haydeé.
  • Herrera, Rafael.
  • SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
2204
http://library.link/vocab/subjectName
  • Mathematics
  • Dynamics
  • Ergodic theory
  • Differential equations
  • Geometry
  • Calculus of variations
  • Manifolds (Mathematics)
  • Complex manifolds
  • Mathematics
  • Dynamical Systems and Ergodic Theory
  • Calculus of Variations and Optimal Control; Optimization
  • Ordinary Differential Equations
  • Geometry
  • Manifolds and Cell Complexes (incl. Diff.Topology)
Label
Geometrical Themes Inspired by the N-body Problem, edited by Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
VII, 128 p. 26 illus., 7 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319714288
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-71428-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-71428-8
Label
Geometrical Themes Inspired by the N-body Problem, edited by Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
VII, 128 p. 26 illus., 7 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319714288
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-71428-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-71428-8

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