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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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
December 7, 2012
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| In: |
Archiv der Mathematik
Year: 2012, Volume: 99, Issue: 6, Pages: 531-536 |
| ISSN: | 1420-8938 |
| DOI: | 10.1007/s00013-012-0461-4 |
| Online Access: | 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 
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| Author Notes: | Peter Albers and Urs Frauenfelder |
| Summary: | 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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| Item Description: | Gesehen am 18.02.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1420-8938 |
| DOI: | 10.1007/s00013-012-0461-4 |