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|Title:||Connections on the fibre bundle and application to the Lagrangian mechanics||Authors:||Mehdi, M.
|Affiliations:||Department of Mathematics||Keywords:||Connections
|Issue Date:||2013||Part of:||Journal of geometry and topology||Volume:||13||Issue:||2||Start page:||119||End page:||151||Abstract:||
In this paper, we use the notion of Grifones connection over a tangent bundle in order to construct a connection over a sub-bundle. Then we characterize the solutions of non-holonomic Lagrangian mechanics and show that the geodesics of the connection constructed on the sub-bundle are the solutions of the non-holonomic Euler-Lagrange system. Finally, we will prove that the Hamiltonian associated to Lagrangian function is constant along the horizontal curves.
|Appears in Collections:||Department of Mathematics|
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