Canonical transformations for hyperkahler structures and hyperhamiltonian dynamics

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.

A somewhat older paper posted for archival purposes; 22 pages in this format

References in corpus (2)

• Moduli Spaces of Instantons on the Taub-NUT Space
• Structure preserving transformations in hyperkahler Euclidean spaces

Cited by in corpus (2)

• Symmetry and quaternionic integrable systems
• Structure preserving transformations in hyperkahler Euclidean spaces