skip to content
Geometrical themes inspired by the N-body problem Preview this item
ClosePreview this item
Checking...

Geometrical themes inspired by the N-body problem

Author: Adolfo GuillotR MontgomeryAndrés PedrozaL Hernández LamonedaHaydeé HerreraAll authors
Publisher: Cham, Switzerland : Springer, [2018] ©2018
Series: Lecture notes in mathematics (Springer-Verlag), 2204.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
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from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.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  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Conference papers and proceedings
Congresses
Additional Physical Format: Online version:
Mini-Meeting on Differential Geometry (7th : 2015 : Guanajuato, Mexico).
Geometrical themes inspired by the N-body problem.
Cham : Springer, 2018
(OCoLC)1027195546
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Adolfo Guillot; R Montgomery; Andrés Pedroza; L Hernández Lamoneda; Haydeé Herrera; Rafael Herrera
ISBN: 9783319714271 3319714279
OCLC Number: 1007038722
Notes: Proceedings from the Seventh Mini-meeting on Differential Geometry held from February 17th to 19th, 2015, at the Center for Research in Mathematics (CIMAT), Guanajuato, México.
Description: vii, 125 pages : illustrations (some color) ; 24 cm.
Contents: Complex differential equations and geometric structures on curves / Adolfo Guillot --
Blow-up, homotopy and existence for periodic solutions of the planar three-body problem / Richard Montgomery --
A quick view of Lagrangian Floer homology / Andrés Pedroza.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2204.
Responsibility: Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera, editors.

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"--Page 4 of cover.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/1007038722> # Geometrical themes inspired by the N-body problem
    a schema:Book, schema:CreativeWork ;
    library:oclcnum "1007038722" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/sz> ;
    rdfs:seeAlso <http://experiment.worldcat.org/entity/work/data/4802298302#CreativeWork/blow_up_homotopy_and_existence_for_periodic_solutions_of_the_planar_three_body_problem> ; # Blow-up, homotopy and existence for periodic solutions of the planar three-body problem.
    rdfs:seeAlso <http://experiment.worldcat.org/entity/work/data/4802298302#CreativeWork/quick_view_of_lagrangian_floer_homology> ; # Quick view of Lagrangian Floer homology.
    rdfs:seeAlso <http://experiment.worldcat.org/entity/work/data/4802298302#CreativeWork/complex_differential_equations_and_geometric_structures_on_curves> ; # Complex differential equations and geometric structures on curves.
    schema:about <http://experiment.worldcat.org/entity/work/data/4802298302#Topic/differential_equations> ; # Differential equations
    schema:about <http://experiment.worldcat.org/entity/work/data/4802298302#Topic/geometry_differential> ; # Geometry, Differential
    schema:about <http://experiment.worldcat.org/entity/work/data/4802298302#Topic/dynamics> ; # Dynamics
    schema:about <http://experiment.worldcat.org/entity/work/data/4802298302#Topic/floer_homology> ; # Floer homology
    schema:about <http://experiment.worldcat.org/entity/work/data/4802298302#Topic/many_body_problem> ; # Many-body problem
    schema:about <http://dewey.info/class/530.144/e23/> ;
    schema:bookFormat bgn:PrintBook ;
    schema:contributor <http://experiment.worldcat.org/entity/work/data/4802298302#Person/montgomery_r_richard_1956> ; # Richard Montgomery
    schema:contributor <http://experiment.worldcat.org/entity/work/data/4802298302#Person/pedroza_andres> ; # Andrés Pedroza
    schema:contributor <http://experiment.worldcat.org/entity/work/data/4802298302#Person/guillot_adolfo> ; # Adolfo Guillot
    schema:copyrightYear "2018" ;
    schema:creator <http://experiment.worldcat.org/entity/work/data/4802298302#Meeting/mini_meeting_on_differential_geometry_7th_2015_guanajuato_mexico> ; # Mini-Meeting on Differential Geometry (7th : 2015 : Guanajuato, Mexico),
    schema:datePublished "2018" ;
    schema: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. 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"--Page 4 of cover."@en ;
    schema:editor <http://experiment.worldcat.org/entity/work/data/4802298302#Person/herrera_haydee> ; # Haydeé Herrera
    schema:editor <http://experiment.worldcat.org/entity/work/data/4802298302#Person/herrera_rafael_herrera_guzman> ; # Herrera Guzmán Herrera
    schema:editor <http://experiment.worldcat.org/entity/work/data/4802298302#Person/hernandez_lamoneda_l_luis> ; # Luis Hernández Lamoneda
    schema:exampleOfWork <http://worldcat.org/entity/work/id/4802298302> ;
    schema:genre "Conference papers and proceedings"@en ;
    schema:genre "Conference publication"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://worldcat.org/issn/0075-8434> ; # Lecture notes in mathematics (Springer-Verlag) ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/1027195546> ;
    schema:name "Geometrical themes inspired by the N-body problem"@en ;
    schema:productID "1007038722" ;
    schema:workExample <http://worldcat.org/isbn/9783319714271> ;
    schema:workExample <http://dx.doi.org/10.1007/978-3-319-71428-8> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/1007038722> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/4802298302#CreativeWork/blow_up_homotopy_and_existence_for_periodic_solutions_of_the_planar_three_body_problem> # Blow-up, homotopy and existence for periodic solutions of the planar three-body problem.
    a schema:CreativeWork ;
    schema:creator <http://experiment.worldcat.org/entity/work/data/4802298302#Person/montgomery_r_richard_1956> ; # Richard Montgomery
    schema:name "Blow-up, homotopy and existence for periodic solutions of the planar three-body problem." ;
    .

<http://experiment.worldcat.org/entity/work/data/4802298302#CreativeWork/complex_differential_equations_and_geometric_structures_on_curves> # Complex differential equations and geometric structures on curves.
    a schema:CreativeWork ;
    schema:creator <http://experiment.worldcat.org/entity/work/data/4802298302#Person/guillot_adolfo> ; # Adolfo Guillot
    schema:name "Complex differential equations and geometric structures on curves." ;
    .

<http://experiment.worldcat.org/entity/work/data/4802298302#Meeting/mini_meeting_on_differential_geometry_7th_2015_guanajuato_mexico> # Mini-Meeting on Differential Geometry (7th : 2015 : Guanajuato, Mexico),
    a bgn:Meeting, schema:Event ;
    schema:location <http://experiment.worldcat.org/entity/work/data/4802298302#Place/guanajuato_mexico> ; # Guanajuato, Mexico),
    schema:name "Mini-Meeting on Differential Geometry (7th : 2015 : Guanajuato, Mexico)," ;
    .

<http://experiment.worldcat.org/entity/work/data/4802298302#Person/guillot_adolfo> # Adolfo Guillot
    a schema:Person ;
    schema:familyName "Guillot" ;
    schema:givenName "Adolfo" ;
    schema:name "Adolfo Guillot" ;
    .

<http://experiment.worldcat.org/entity/work/data/4802298302#Person/hernandez_lamoneda_l_luis> # Luis Hernández Lamoneda
    a schema:Person ;
    schema:familyName "Hernández Lamoneda" ;
    schema:givenName "Luis" ;
    schema:givenName "L." ;
    schema:name "Luis Hernández Lamoneda" ;
    .

<http://experiment.worldcat.org/entity/work/data/4802298302#Person/herrera_haydee> # Haydeé Herrera
    a schema:Person ;
    schema:familyName "Herrera" ;
    schema:givenName "Haydeé" ;
    schema:name "Haydeé Herrera" ;
    .

<http://experiment.worldcat.org/entity/work/data/4802298302#Person/herrera_rafael_herrera_guzman> # Herrera Guzmán Herrera
    a schema:Person ;
    schema:familyName "Herrera" ;
    schema:givenName "Herrera Guzmán" ;
    schema:givenName "Rafael" ;
    schema:name "Herrera Guzmán Herrera" ;
    .

<http://experiment.worldcat.org/entity/work/data/4802298302#Person/montgomery_r_richard_1956> # Richard Montgomery
    a schema:Person ;
    schema:birthDate "1956" ;
    schema:familyName "Montgomery" ;
    schema:givenName "Richard" ;
    schema:givenName "R." ;
    schema:name "Richard Montgomery" ;
    .

<http://experiment.worldcat.org/entity/work/data/4802298302#Person/pedroza_andres> # Andrés Pedroza
    a schema:Person ;
    schema:familyName "Pedroza" ;
    schema:givenName "Andrés" ;
    schema:name "Andrés Pedroza" ;
    .

<http://experiment.worldcat.org/entity/work/data/4802298302#Place/guanajuato_mexico> # Guanajuato, Mexico),
    a schema:Place ;
    schema:name "Guanajuato, Mexico)," ;
    .

<http://experiment.worldcat.org/entity/work/data/4802298302#Topic/differential_equations> # Differential equations
    a schema:Intangible ;
    schema:name "Differential equations"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/4802298302#Topic/geometry_differential> # Geometry, Differential
    a schema:Intangible ;
    schema:name "Geometry, Differential"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/4802298302#Topic/many_body_problem> # Many-body problem
    a schema:Intangible ;
    schema:name "Many-body problem"@en ;
    .

<http://worldcat.org/isbn/9783319714271>
    a schema:ProductModel ;
    schema:isbn "3319714279" ;
    schema:isbn "9783319714271" ;
    .

<http://worldcat.org/issn/0075-8434> # Lecture notes in mathematics (Springer-Verlag) ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/1007038722> ; # Geometrical themes inspired by the N-body problem
    schema:issn "0075-8434" ;
    schema:name "Lecture notes in mathematics (Springer-Verlag) ;" ;
    schema:name "Lecture notes in mathematics," ;
    .

<http://www.worldcat.org/oclc/1027195546>
    a schema:CreativeWork ;
    rdfs:label "Geometrical themes inspired by the N-body problem." ;
    schema:description "Online version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/1007038722> ; # Geometrical themes inspired by the N-body problem
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.