Geometrical Themes Inspired by the N-body ProblemAuthor :
Paperback
Published : Tuesday 27 February 2018
Description
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from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.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. Guillots 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. Montgomerys 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. Pedrozas notes provide a brief introduction to Lagrangian Floer homology and its relation to the solution of the Arnold conjecture on the minimal number of non-degenerate fixed points of a Hamiltonian diffeomorphism.
You may also like ...
by
Paperback
27 Feb 2018
Algebraic topology
€36.26
Extended stock – Dispatch 5-7 days
by
Paperback
12 Dec 2029
Constitutional and administrative law: general
€85.35
by
Paperback
22 Jul 2024
Social and ethical issues
€23.39
by
Hardback
21 Mar 2024
Social and ethical issues
€74.88
Extended stock – Dispatch 5-7 days
Reviews