39 citations · 41 across the 4 of their papers we have counts for
4 papers
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…
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…
A remark on first integrals of vector fields
André Belotto da Silva, Martin Klimes, Julio C. Rebelo +1
We provide examples of vector fields on admitting a formal first integral but no holomorphic first integral. These examples are related to a question raised by…
The Sard conjecture on Martinet surfaces
André Belotto da Silva, Ludovic Rifford
Given a totally nonholonomic distribution of rank two on a three-dimensional manifold we investigate the size of the set of points that can be reached by singular horizontal paths…