The Analytic Minimal Rank Sard Conjecture
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909454621999104 |
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| author | da Silva, A Belotto Parusiński, A Rifford, L |
| author_facet | da Silva, A Belotto Parusiński, A Rifford, L |
| contents | 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 establishes that from a given point the set of points accessible through singular horizontal curves of minimal rank, which corresponds to the rank of the distribution, has Lebesgue measure zero. The minimal rank Sard Conjecture is equivalent to the Sard Conjecture for co-rank 1 distributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_01392 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Analytic Minimal Rank Sard Conjecture da Silva, A Belotto Parusiński, A Rifford, L Differential Geometry Optimization and Control Symplectic Geometry 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 establishes that from a given point the set of points accessible through singular horizontal curves of minimal rank, which corresponds to the rank of the distribution, has Lebesgue measure zero. The minimal rank Sard Conjecture is equivalent to the Sard Conjecture for co-rank 1 distributions. |
| title | The Analytic Minimal Rank Sard Conjecture |
| topic | Differential Geometry Optimization and Control Symplectic Geometry |
| url | https://arxiv.org/abs/2208.01392 |