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On-flow and strong solutions to Killing-type equations

Authors
  • Gorni, Gianluca
  • Zampieri, Gaetano
Type
Preprint
Publication Date
Jun 17, 2014
Submission Date
Mar 03, 2014
Identifiers
arXiv ID: 1403.0506
Source
arXiv
License
Yellow
External links

Abstract

If we impose infinitesimal invariance up to a boundary term of the action functional for Lagrangian ordinary differential equations, we are led to Killing-type equations, which are related to first integrals through Noether theorem. We review the "on-flow" and "strong" interpretations of the Killing-type equation, and for each we detail the complete explicit structure of the solution set in terms of the associated first integral. We give examples that reappraise the usefulness of the "on-flow" solutions. Finally, we describe an equivalent alternative approach to variational invariance.

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