A Quaternionic Structure as a Landmark for Symplectic Maps

Abstract

We use a quaternionic structure on the product of two symplectic manifolds for relating Liouvillian forms with linear symplectic maps obtained by the symplectic Cayley's transformation.

arXiv comment7 pages, small modifications, some formulas corrected, we add some paragraphs about the application in symplectic integration

References in corpus (2)

• Symplectic maps: from generating functions to Liouvillian forms
• On the Poincaré's generating function and the symplectic mid-point rule