The space of linear anti-symplectic involutions is a homogenous space |
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| Authors: | Peter Albers Urs Frauenfelder |
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| Institution: | 1. Mathematisches Institut, Westf?lische Wilhelms-Universit?t Münster, Münster, Germany
2. Department of Mathematics and Research Institute of Mathematics, Seoul National University, Seoul, Korea
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| Abstract: | In this note we prove that the space of linear anti-symplectic involutions is the homogenous space ${{{\rm Gl}(n, \mathbb{R})\backslash{\rm Sp}(n)}}$ . This result is motivated by the study of symmetric periodic orbits in the restricted 3-body problem. |
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