Conservation Laws and Their Application in Global Differential Geometry

Karen Uhlenbeck
Additional contact information
Karen Uhlenbeck: University of Illinois, Department of Mathematics

A chapter in Emmy Noether in Bryn Mawr, 1983, pp 103-115 from Springer

Abstract: Abstract Most of E. Noether’s mathematical research was in the field of algebra, or related to it. Outside this work in algebra is one very famous theorem of Noether’s which is stated in every book on classical mechanics, as well as in many texts on more recently developed physical theories [20]. This well-known theorem applies to the following situation: an (action) integral in the calculus of variations has continuous one-parameter groups of symmetries (or the infinitesimal version of these). Then Noether’s theorem states that to each such symmetry is associated a conservation law, or first integral† of the Euler-Lagrange equations for the integral.

Keywords: Einstein Metrics; Lagrangian Mechanic; Kahler Manifold; Global Differential Geometry; Free Vector Field (search for similar items in EconPapers)
Date: 1983
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-5547-5_6

Ordering information: This item can be ordered from
http://www.springer.com/9781461255475

DOI: 10.1007/978-1-4612-5547-5_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().