Noether Symmetries of the Area-Minimizing Lagrangian

Adnan Aslam and Asghar Qadir

Journal of Applied Mathematics, 2012, vol. 2012, 1-14

Abstract:

It is shown that the Lie algebra of Noether symmetries for the Lagrangian minimizing an -area enclosing a constant -volume in a Euclidean space is and in a space of constant curvature the Lie algebra is . Furthermore, if the space has one section of constant curvature of dimension , another of , and so on to and one of zero curvature of dimension , with (as some of the sections may have no symmetry), then the Lie algebra of Noether symmetries is .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:532690

DOI: 10.1155/2012/532690

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