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 rise 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.

Canonical transformastions for hyperkahler structures and hyperhamiltonian dynamics / G. Gaeta, M.A. Rodriguez. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 55:5(2014), pp. 052901.1-052901.26.

Canonical transformastions for hyperkahler structures and hyperhamiltonian dynamics

G. Gaeta
Primo
;
2014

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 rise 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.
Settore MAT/07 - Fisica Matematica
2014
Article (author)
File in questo prodotto:
File Dimensione Formato  
journ_math_ph_052901.pdf

accesso riservato

Tipologia: Publisher's version/PDF
Dimensione 465.31 kB
Formato Adobe PDF
465.31 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/245424
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
social impact