The space of linear anti-symplectic involutions is a homogenous space

In this note we prove that the space of linear anti-symplectic involutions is the homogenous space Gl(n,R)\Sp(n). This result is motivated by the study of symmetric periodic orbits in the restricted 3-body problem.

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Hauptverfasser: Albers, Peter (VerfasserIn) , Frauenfelder, Urs (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: December 7, 2012
In: Archiv der Mathematik
Year: 2012, Jahrgang: 99, Heft: 6, Pages: 531-536
ISSN:1420-8938
DOI:10.1007/s00013-012-0461-4
Online-Zugang:Resolving-System, Volltext: http://dx.doi.org/10.1007/s00013-012-0461-4
Verlag, Volltext: https://link.springer.com/article/10.1007%2Fs00013-012-0461-4
Volltext
Verfasserangaben:Peter Albers and Urs Frauenfelder
Beschreibung
Zusammenfassung:In this note we prove that the space of linear anti-symplectic involutions is the homogenous space Gl(n,R)\Sp(n). This result is motivated by the study of symmetric periodic orbits in the restricted 3-body problem.
Beschreibung:Gesehen am 18.02.2019
Beschreibung:Online Resource
ISSN:1420-8938
DOI:10.1007/s00013-012-0461-4