By Giuseppe Gaeta,Miguel A. Rodríguez
This e-book offers the mathematical foundations of the idea of hyperhamiltonian dynamics, including a dialogue of actual purposes. additionally, a few open difficulties are mentioned. Hyperhamiltonian mechanics represents a generalization of Hamiltonian mechanics, during which the position of the symplectic constitution is taken by way of a hyperkähler one (thus there are 3 Kähler/symplectic kinds enjoyable quaternionic relations). This has proved to be of use within the description of actual structures with spin, together with these which don't admit a Hamiltonian formula. The e-book is the 1st monograph at the topic, which has formerly been taken care of purely in examine papers.
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