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

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.

Keywords:

Berger metric , squashed three-sphere , Noether symmetry , Killing symmetry

Authors

Yadollah AryaNejad

Department of Mathematics, Payame Noor University, P.O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.

Masomeh ‎Padiz Foumani

Department of Mathematics, Payame Noor University, P.O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.

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https://civilica.com/doc/2406054

شناسه ملی سند علمی:

JR_CMDE-13-4_004

تاریخ نمایه سازی: 30 مهر 1404

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AryaNejad, Yadollah and ‎Padiz Foumani, Masomeh,1404,Symmetries and conservation laws of the Berger metric on a squashed three-sphere,https://civilica.com/doc/2406054

Scientometrics

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Ranking of Payame Noor University

Type of center: پیام نور

Paper count: 114,489

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