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METRIC NON-LINEAR CONNECTIONS ON THE PROLONGATIONS OF A LIE ALGEBROIDS TO ITS DUAL BUNDLE

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Popescu, Liviu

Editorial: Annals of the Alexandru Ioan Cuza University - Mathematics, 57, supplement, p.211-220, 2011.

Rezumat:

In the present paper the problem of compatibility between a nonlinear connection and other geometric structures on Lie algebroids is studied. The notion of dynamical covariant derivative is introduced and a metric nonlinear connection is found. We prove that the nonlinear connection induced by a regular Hamiltonian on a Lie algebroid is the unique connection which is compatible with the metric and symplectic structures

Cuvinte cheie: Lie algebroids, metric nonlinear connections, Hamiltonia formalism

URL: http://versita.metapress.com/content/a97v72l5g750h618/