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math.DG2013
Fundamental invariants of systems of ODEs of higher order
Boris Doubrov, Alexandr Medvedev
We find the complete set of fundamental invariants for systems of ordinary differential equations of order under the group of point transformations generalizing similar res…
math.DG2013
On the geometry of conformal geodesics equations
Alexandr Medvedev
We answer to the question whether a system of the 3rd order ODEs describes geodesics of a conformal structure. We construct a functor from a category of conformal geometries to a c…