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math.DG2023
Abnormal Singular Foliations and the Sard Conjecture for generic co-rank one distributions
A Belotto da Silva, A Parusiński, L Rifford
Given a smooth totally nonholonomic distribution on a smooth manifold, we construct a singular distribution capturing essential abnormal lifts which is locally generated by vector…
math.DG2022★ 2 cited
The Analytic Minimal Rank Sard Conjecture
A Belotto da Silva, A Parusiński, L Rifford
We obtain, under an additional assumption on the subanalytic abnormal distribution constructed in [4], a proof of the minimal rank Sard conjecture in the analytic category. It esta…