Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894748 | Journal of Geometry and Physics | 2015 | 20 Pages |
Abstract
We establish a new version of the first Noether Theorem, according to which the (equivalence classes of) first integrals of given Euler–Lagrange equations in one independent variable are in exact one-to-one correspondence with the (equivalence classes of) vector fields satisfying two simple geometric conditions, namely they simultaneously preserve the holonomy distribution of the jets space and the action from which the Euler–Lagrange equations are derived.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Emanuele Fiorani, Andrea Spiro,