Xavier Gràcia and Josep M Pons 2001 J. Phys. A: Math. Gen. 34 3047 doi:10.1088/0305-4470/34/14/311
Xavier Gràcia1 and Josep M Pons2
Show affiliationsNew geometric structures that relate the Lagrangian and Hamiltonian formalisms defined upon a singular Lagrangian are presented. Several vector fields are constructed in velocity space that give new and precise answers to several topics such as the projectability of a vector field to a Hamiltonian vector field, the computation of the kernel of the presymplectic form of a Lagrangian formalism, the construction of the Lagrangian dynamical vector fields and the characterization of dynamical symmetries.
Issue 14 (13 April 2001)
Received 20 October 2000
Xavier Gràcia and Josep M Pons 2001 J. Phys. A: Math. Gen. 34 3047
Adrian L. Melott et al 1997 ApJ 479 L79
David Charbonneau et al. 2005 ApJ 626 523
Masatake Yamaguchi et al 2004 J. Phys.: Condens. Matter 16 3933
J D Reger and A P Young 1993 J. Phys. A: Math. Gen. 26 L1067
Mark J. Claussen et al 1998 ApJ 507 L79
István Ozsváth and Engelbert Schücking 2001 Class. Quantum Grav. 18 2243
Beth Ann Thacker 2003 Rep. Prog. Phys. 66 1833
Naresh Dadhich and Z Ya Turakulov 2002 Class. Quantum Grav. 19 2765
P Exner et al 2001 J. Phys. A: Math. Gen. 34 9733