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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…
math.DG2011★ 10 cited
Third Order ODEs Systems and Its Characteristic Connections
Alexandr Medvedev
We compute the characteristic Cartan connection associated with a system of third order ODEs. Our connection is different from Tanaka normal one, but still is uniquely associated w…