Noether's theorems/Figure gallery

Noether's theorems: map
Reading the volume How to read this volume Notation Glossary Index of symmetries Figure gallery
Reading by level Start here: the plain-language primer The first theorem, stated and proved The second theorem, stated and proved The two theorems side by side The mathematics: Lie groups and Lie algebras The applications: General relativity and the energy question The history: Göttingen and the energy problem
Sources Sources Bibliography Chronology Further reading
Related Hamilton's principle On Physical Lines of Force

Twenty-four figures. Each is listed with the pages that place it.

• 
  A symmetry orbit through the space of configurations
• 
  A varied path against a symmetry-transformed path
• 
  Prolongation: a curve and its lifted derivative data
• 
  The Noether current as a flux through a tube
• 
  On-shell and off-shell as nested regions
• 
  The first and second theorems side by side
• 
  The symmetry-to-conservation map
• 
  A gauge orbit and the constraint surface
• 
  Killing vectors on a sphere with a geodesic
• 
  The closed Kepler orbit and the Runge-Lenz vector
• 
  The Belinfante improvement as a redistribution
• 
  A chronology from Lie to the anomaly
• 
  Identities among the field equations from a local symmetry
• 
  The origin of the boundary term
• 
  A one-parameter group: flow lines and the generator
• 
  Strict invariance against invariance up to a divergence
• 
  Gottingen 1915 to 1918: who wrote what, and when
• 
  The three levels of generality
• 
  A Lie group and its algebra as the tangent at the identity
• 
  Jet space: a function and its first jet
• 
  The moment map
• 
  Fields against independent field equations
• 
  Charge conservation as a continuity equation on a spacetime slab
• 
  Topological charge: winding, not Noether

Where each figure appears

figure	subject	placed on
NT-F-01	A symmetry orbit through the space of configurations	B-07, F-07
NT-F-02	A varied path against a symmetry-transformed path	B-01, F-01
NT-F-03	Prolongation: a curve and its lifted derivative data	B-04, F-04
NT-F-04	The Noether current as a flux through a tube	B-08, F-08
NT-F-05	On-shell and off-shell as nested regions	B-09, F-09
NT-F-06	The first and second theorems side by side	B-19, S-07
NT-F-07	The symmetry-to-conservation map	R-02
NT-F-08	A gauge orbit and the constraint surface	A-05, B-28
NT-F-09	Killing vectors on a sphere with a geodesic	B-24, M-05
NT-F-10	The closed Kepler orbit and the Runge-Lenz vector	A-02
NT-F-11	The Belinfante improvement as a redistribution	B-25, M-06
NT-F-12	A chronology from Lie to the anomaly	R-04, H-09
NT-F-13	Identities among the field equations from a local symmetry	A-06, B-14, S-02, S-03
NT-F-14	The origin of the boundary term	B-06, F-06
NT-F-15	A one-parameter group: flow lines and the generator	B-03, F-03
NT-F-16	Strict invariance against invariance up to a divergence	B-05, F-05
NT-F-17	Gottingen 1915 to 1918: who wrote what, and when	H-01
NT-F-18	The three levels of generality	F-07
NT-F-19	A Lie group and its algebra as the tangent at the identity	B-20, M-01
NT-F-20	Jet space: a function and its first jet	M-02
NT-F-21	The moment map	M-04
NT-F-22	Fields against independent field equations	A-07, B-17, S-05
NT-F-23	Charge conservation as a continuity equation on a spacetime slab	A-04
NT-F-24	Topological charge: winding, not Noether	A-11, B-33

The figures are shipped as PNG, rendered at twice display size from vector masters. Images are not carried by a page import and upload separately.

This page uses the gallery tag, which needs no extension, and is the only page in the volume that does.