LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515.39 (DDC 23)
Title	Geometrical themes inspired by the N-body problem ([Ebook]) / edited by Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera
Added Personal Name	Hernández-Lamoneda, Luis
	Herrera, Haydeé
	Herrera, Rafael
Publication	Cham : Springer International Publishing , 2018
Physical Details	1 online resource (VII, 128 pages) : 26 illus., 7 illus. in color
Series	Lecture Notes in Mathematics ; 2204
ISBN	978-3-319-71428-8
Summary Note	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from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.A. Guillot’s notes aim to describe differential equations in the complex domain, motivated by the evolution of N particles moving on the plane subject to the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.:
Mode of acces to digital resource	Digital book. Cham : Springer International Publishing 2018. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscribing institutions through IP address (only for SISSA internal users)
Internet Site	https://doi.org/10.1007/978-3-319-71428-8
Links to Related Works	Subject References: Calculus of variations . Complex manifolds . Differential Equations . Ergodic theory . Manifolds (Mathematics) . Authors: Hernández-Lamoneda, Luis . Herrera, Haydeé . Herrera, Rafael . Series: Lecture Notes in Mathematics . Classification: 515.39 (DDC 23) .

Catalogue Display

Geometrical themes inspired by the N-body problem

Reviews