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Totally singular Lagrangians and affine Hamiltonians.
- Source :
- Balkan Journal of Geometry & Its Applications; 2009, Vol. 14 Issue 1, p60-71, 12p
- Publication Year :
- 2009
-
Abstract
- A Lagrangian or an affine Hamiltonian is called totally singular if it is defined by affine functions in highest velocities or momenta respectively. A natural duality relation between these Lagrangians and affine Hamiltonians is considered. The energy of a second order affine Hamiltonian is related with a dual corresponding Lagrangian of order one. Relations between the curves that are solutions of Euler and Hamilton equations of dual objects are also studied using semi-sprays. In order to generate examples of second order, a natural lifting procedure is considered. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 12242780
- Volume :
- 14
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Balkan Journal of Geometry & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 44909383