Data di Pubblicazione:
2015
Citazione:
Symmetry and quaternionic integrable systems / G. Gaeta, M.A. Rodriguez. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 87(2015 Jan), pp. 134-148. [10.1016/j.geomphys.2014.05.019]
Abstract:
Given a hyperkahler manifold M, the hyperkahler structure defines a triple of symplectic structures on M; with these, a triple of Hamiltonians defines a so-called hyperHamiltonian dynamical system on M. These systems are integrable when can be mapped to a system of quaternionic oscillators. We discuss the symmetry of integrable hyperHamiltonian systems, i.e. quaternionic oscillators, and conversely how these symmetries characterize, at least in the Euclidean case, integrable hyperHamiltonian systems.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Integrable systems; Quaternions; Hyperkahler manifolds; Symmetry
Elenco autori:
G. Gaeta, M.A. Rodriguez
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