A Quaternionic Structure as a Landmark for Symplectic Maps
Symplectic Geometry
2020-10-26 v3 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1910.13031,
title = {A Quaternionic Structure as a Landmark for Symplectic Maps},
author = {Hugo Jiménez-Pérez},
journal= {arXiv preprint arXiv:1910.13031},
year = {2020}
}
Comments
7 pages, small modifications, some formulas corrected, we add some paragraphs about the application in symplectic integration