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Noether's theorem for singular Lagrangians

✍ Scribed by José F. Cariñena; Manuel F. Rañada

Publisher
Springer
Year
1988
Tongue
English
Weight
381 KB
Volume
15
Category
Article
ISSN
0377-9017

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✦ Synopsis

The correspondence between constants of motion and symmetries of a singular Langrangian system is studied. It is shown to be a one-to-one correspondence after an appropriate definition of both concepts. The theory is illustrated with an example.

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Consider a generic vector bundle E of given rank m d degree. Consider the subscheme of the Jacobian of line bundles L such that E 8 L has a ssction. We show that the ringular locue of this subscheme consists of all line bundles such that E 0 L has at least two sections.