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

نویسندگان

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

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

doi
10.22034/cmde.2024.56893.2381
چکیده

 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 the result of Noether’s theorem, we have presented the expressions for conservation laws corresponding to all Noether symmetries.