2006Transactions of Beijing Institute of TechnologyRequires access

Weakly Noether Symmetry of a Lagrange System

Shui Xiao-ping

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Abstract

A kind of symmetries,i.e.a weakly Noether symmetry for a Lagrange system is presented.The criterion of the weakly Noether symmetry of the system is given and a Noether conserved quantity can be deduced using the symmetry.The weakly Noether symmetry finds more applications than the Noether symmetry.

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A kind of symmetries,i.e.a weakly Noether symmetry for a Lagrange system is presented.The criterion of the weakly Noether symmetry of the system is given and a Noether conserved quantity can be deduced using the symmetry.The weakly Noether symmetry finds more applications than the Noether symmetry.

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Available abstract

A kind of symmetries,i.e.a weakly Noether symmetry for a Lagrange system is presented.The criterion of the weakly Noether symmetry of the system is given and a Noether conserved quantity can be deduced using the symmetry.The weakly Noether symmetry finds more applications than the Noether symmetry.

Key concepts: Noether's theorem, Symmetry (geometry), Homogeneous space, Mathematical physics, Conserved current, Conserved quantity, Physics, Mathematics

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