A Hamilton-Jacobi theory on Poisson manifolds

Manuel de León; David Martín de Diego; Miguel Vaquero

doi:10.3934/jgm.2014.6.121

Article Contents

2014, Volume 6, Issue 1: 121-140. Doi: 10.3934/jgm.2014.6.121

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A Hamilton-Jacobi theory on Poisson manifolds

1.
Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), c\ Nicolás Cabrera, n 13-15, Campus Cantoblanco, UAM, 28049 Madrid

Received: October 31, 2012

Revised: December 31, 2013

Published: February 2014

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Abstract

In this paper we develop a Hamilton-Jacobi theory in the setting of almost Poisson manifolds. The theory extends the classical Hamilton-Jacobi theory and can be also applied to very general situations including nonholonomic mechanical systems and time dependent systems with external forces.

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Mathematics Subject Classification: Primary: 70H20, 70 G45, 70F25, 37J60.

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