The $h$-Principle for Maps Transverse to Bracket-Generating Distributions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866916397351698432 |
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| author | Bhowmick, Aritra |
| author_facet | Bhowmick, Aritra |
| contents | Given a smooth bracket-generating distribution $\mathcal{D}$ of constant growth on a manifold $M$, we prove that maps from an arbitrary manifold $Σ$ to $M$, which are transverse to $\mathcal{D}$, satisfy the complete $h$-principle. This partially settles a question posed by M. Gromov. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_04323 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The $h$-Principle for Maps Transverse to Bracket-Generating Distributions Bhowmick, Aritra Differential Geometry 58A30, 58A20, 58A17, 57R42 Given a smooth bracket-generating distribution $\mathcal{D}$ of constant growth on a manifold $M$, we prove that maps from an arbitrary manifold $Σ$ to $M$, which are transverse to $\mathcal{D}$, satisfy the complete $h$-principle. This partially settles a question posed by M. Gromov. |
| title | The $h$-Principle for Maps Transverse to Bracket-Generating Distributions |
| topic | Differential Geometry 58A30, 58A20, 58A17, 57R42 |
| url | https://arxiv.org/abs/2205.04323 |