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  1. Bog
  2. Topologi
  3. Algebraisk topologi

Geometrical Themes Inspired by the N-body Problem

Engelsk Paperback

Geometrical Themes Inspired by the N-body Problem

Engelsk Paperback
Tjek vores konkurrenters priser
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from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.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.

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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from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.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.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 128
ISBN-13: 9783319714271
Indbinding: Paperback
Udgave:
ISBN-10: 3319714279
Kategori: Algebraisk topologi
Udg. Dato: 27 feb 2018
Længde: 20mm
Bredde: 234mm
Højde: 155mm
Forlag: Springer International Publishing AG
Oplagsdato: 27 feb 2018
Forfatter(e):
Forfatter(e)

Kategori Algebraisk topologi

ISBN-13 9783319714271

Sprog Engelsk

Indbinding Paperback

Sider 128

Udgave

Længde 20mm

Bredde 234mm

Højde 155mm

Udg. Dato 27 feb 2018

Oplagsdato 27 feb 2018

Forlag Springer International Publishing AG

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