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arXiv · 2205.04323

The $h$-Principle for Maps Transverse to Bracket-Generating Distributions

Aritra Bhowmick
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Abstract

Given a smooth bracket-generating distribution $\mathcal{D}$ of constant growth on a manifold $M$, we prove that maps from an arbitrary manifold $\Sigma$ to $M$, which are transverse to $\mathcal{D}$, satisfy the complete $h$-principle. This partially settles a question posed by M. Gromov.

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BibTeXRIS

Aritra Bhowmick. 2022-05-09. The $h$-Principle for Maps Transverse to Bracket-Generating Distributions. https://doi.org/10.2140/pjm.2024.330.207

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