Noether’s theorem for a fixed region

Klaus Bering

Address: Institute for Theoretical Physics & Astrophysics, Masaryk University, Kotlářská 2, CZ–611 37 Brno, Czech Republic


Abstract: We give an elementary proof of Noether’s first Theorem while stressing the magical fact that the global quasi-symmetry only needs to hold for one fixed integration region. We provide sufficient conditions for gauging a global quasi-symmetry.

AMSclassification: primary 70S10.

Keywords: Noether’s first Theorem.