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- W4301284028 abstract "In this article we study immersions of the circle that are tangent to an Engel structure $mathcal{D}$. We show that a full $h$-principle does exist as soon as one excludes the closed orbits of $mathcal{W}$, the kernel of $mathcal{D}$. This is sharp: we elaborate on work of Bryant and Hsu to show that curves tangent to $mathcal{W}$ often conform additional isolated components that cannot be detected at a formal level. We then show that this is an exceptional phenomenon: if $mathcal{D}$ is generic, curves tangent to $mathcal{W}$ are not isolated anymore. We then go on to show that a full $h$-principle holds for immersions transverse to the Engel structure." @default.
- W4301284028 created "2022-10-05" @default.
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- W4301284028 date "2016-09-29" @default.
- W4301284028 modified "2023-10-17" @default.
- W4301284028 title "Flexibility for tangent and transverse immersions in Engel manifolds" @default.
- W4301284028 doi "https://doi.org/10.48550/arxiv.1609.09306" @default.
- W4301284028 hasPublicationYear "2016" @default.
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