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- W4285762955 abstract "Contact structures, as well as their holomorphic and quaternionic counterparts are the primary examples of strongly bracket generating (or fat) distributions. In this article we associate a numerical invariant to corank $2$ fat distribution on manifolds, referred to as emph{degree} of the distribution. The real distribution underlying a holomorphic contact structure is of degree $2$. Using Gromov's sheaf theoretic and analytic techniques of $h$-principle, we prove the existence of horizontal immersions of an arbitrary manifold into degree $2$ fat distributions and the quaternionic contact structures. We also study immersions of a contact manifold inducing the given contact structure." @default.
- W4285762955 created "2022-07-19" @default.
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- W4285762955 date "2020-07-04" @default.
- W4285762955 modified "2023-10-16" @default.
- W4285762955 title "Existence of Horizontal Immersions in Fat Distributions" @default.
- W4285762955 doi "https://doi.org/10.48550/arxiv.2007.02058" @default.
- W4285762955 hasPublicationYear "2020" @default.
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