NEW DEVELOPMENTS IN HAMILTON-JACOBI THEORY

• 作 者: M.de León
• 机 构: Instituto de Ciencias Matemáticas Consejo Superior de Investigaciones Científicas Serrano 123,28006
• 出 处: The Third International Conference on Dynamics,Vibration and
• 发表日期: 2010年4期
• 关键词: Hamilton-Jacobi equation Lie algebroids skew-symmetric algebroids nonholonomic m

　　There were many attempts in the last decades in order to develop a convenient Hamilton-Jacobi theory for nonholonomic mechanical systems.In this paper we will present a Hamilton-Jacobi theory, which gives a unified setting for the traditional one as well as for nonholonomic systems.To do that we need the use of a more sofisticated geometric tool, Lie algebroids.