Variational principles for conformal geodesics
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DOI: 10.1007/s11005-021-01469-z
Abstract: Conformal geodesics are solutions to a system of third-order equations, which makes a Lagrangian formulation problematic. We show how enlarging the class of allowed variations leads to a variational formulation for this system with a… read more here.
Keywords: conformal geodesics; order; system; variational principles ... See more keywords
Conformal geodesics are not variational in higher dimensions
Sign Up to like & getrecommendations! Published in 2025 at "Nonlinearity"
DOI: 10.1088/1361-6544/ae1437
Abstract: Variationality of the equation of conformal geodesics is an important problem in geometry with applications to general relativity. Recently it was proven that, in three dimensions, this system of equations for un-parametrized curves is the… read more here.
Keywords: geodesics variational; variational higher; higher dimensions; geometry ... See more keywords