Conformal Invariance and Noether Symmetry,Lie Symmetry of Birkhoffian Systems in Event Space |
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| Authors: | ZHANG Yi |
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| Affiliation: | College of Civil Engineering, Suzhou University of Science and Technology,;Suzhou 215011, China |
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| Abstract: | ![]()
This paper focuses on studying a conformal invariance and a Noether symmetry, a Lie symmetry for a Birkhoffian system in event space. The definitions of the conformal invariance of the system are given. By investigation on the relations between the conformal invariance and the Noether symmetry, the conformal invariance and the Lie symmetry, the expressions of conformal factors of the system under these circumstances are obtained. The Noether conserved quantities and the Hojman conserved quantities directly derived from the conformal invariance are given. Two examples are given to illustrate the application of the results. |
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| Keywords: | Birkhoffian system event space conformal invariance Noether symmetry Lie symmetry |
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