Canonical transformations for hyperkahler structures and hyperhamiltonian dynamics
Mathematical Physics
2015-12-23 v1 math.MP
Abstract
We discuss generalizations of the well known concept of canonical transformations for symplectic structures to the case of hyperkahler structures. Different characterizations, which are equivalent in the symplectic case, give raise to non-equivalent notions in the hyperkahler framework; we will thus distinguish between hyperkahler and canonical transformations. We also discuss the properties of hyperhamiltonian dynamics in this respect.
Cite
@article{arxiv.1512.04043,
title = {Canonical transformations for hyperkahler structures and hyperhamiltonian dynamics},
author = {Giuseppe Gaeta and Miguel Angel Rodriguez},
journal= {arXiv preprint arXiv:1512.04043},
year = {2015}
}
Comments
A somewhat older paper posted for archival purposes; 22 pages in this format