RT Journal Article T1 Canonical transformations for hyperkahler structures and hyperhamiltonian dynamics A1 Gaeta, G. A1 Rodríguez González, Miguel Ángel AB We discuss generalizations of the well known concept of canonical transformations fo 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 ramework; we will thus distinguish between hyperkahler and canonical transformations. We also discuss the properties of hyperhamiltonian dynamics in this respect. PB American Institute of Physics SN 0022-2488 YR 2014 FD 2014-05 LK https://hdl.handle.net/20.500.14352/35404 UL https://hdl.handle.net/20.500.14352/35404 LA eng NO ©2014 AIP Publishing LLCWe thank P. Morando for useful discussions on this work. M.A.R. was supported by the Spanish Ministry of Science and Innovation under Project No. FIS2011-22566. G.G. is supported by the Italian MIUR-PRIN program under Project No. 2010-JJ4KPA. This article was started and developed in the course of visits by G.G. in Universidad Complutense and by M.A.R. in Università di Milano; we thank these Institutions for their support. NO Ministerio de Ciencia e Innovación (MICINN) NO Italian MIUR-PRIN program DS Docta Complutense RD 6 abr 2025