Variational principles for conformal geodesics

نویسندگان

چکیده

Abstract Conformal geodesics are solutions to a system of third-order equations, which makes Lagrangian formulation problematic. We show how enlarging the class allowed variations leads variational for this with conformally invariant Lagrangian. also discuss fourth-order ODEs arising from and that some its integral curves spirals.

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ژورنال

عنوان ژورنال: Letters in Mathematical Physics

سال: 2021

ISSN: ['0377-9017', '1573-0530']

DOI: https://doi.org/10.1007/s11005-021-01469-z