Symmetries and conservation laws of the Berger metric on a squashed three-sphere

Document Type : Research Paper

Authors

Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.

Abstract

‎In this work‎, ‎we obtain Noether‎, ‎Lie and Killing symmetries of the Lagrangian of the Berger metric on a squashed three‎-sphere. ‎With the help of a result of Noether’s theorem‎, ‎we have presented‎ ‎the expressions for conservation laws corresponding to all Noether symmetries‎.

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Articles in Press, Accepted Manuscript
Available Online from 11 December 2024
  • Receive Date: 29 May 2023
  • Revise Date: 09 December 2024
  • Accept Date: 09 December 2024