Hyper-Hamiltonian dynamics

Abstract

Abstract. We introduce an extension of hamiltonian dynamics, defined on hyperkahler manifolds, which we call "hyperhamiltonian dynamics". We show that this has many of the attractive features of standard hamiltonian dynamics. We also discuss the prototypical integrable hyperhamiltonian systems, i.e. quaternionic oscillators. PACS: 45.90.+t , 45.20.Ji MSC: 53D99 , 37J99 , 70H99

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