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math.DG2020
On Weyl's type theorems and genericity of projective rigidity in sub-Riemannian Geometry
Frédéric Jean, Sofya Maslovskaya, Igor Zelenko
H. Weyl in 1921 demonstrated that for a connected manifold of dimension greater than , if two Riemannian metrics are conformal and have the same geodesics up to a reparametrizat…
math.DG2018
On projective and affine equivalence of sub-Riemannian metrics
F. Jean, S. Maslovskaya, I. Zelenko
Consider a smooth manifold equipped with a bracket generating distribution . Two sub-Riemannian metrics on are said to be projectively (resp. affinely) equivalent if…