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- W2887742355 abstract "As was shown by a part of the authors, for a given $(2, 3, 5)$-distribution $D$ on a $5$-dimensional manifold $Y$, there is, locally, a Lagrangian cone structure $C$ on another $5$-dimensional manifold $X$ which consists of abnormal or singular paths of $(Y, D)$. We give a characterization of the class of Lagrangian cone structures corresponding to $(2, 3, 5)$-distributions. Thus we complete the duality between $(2, 3, 5)$-distributions and Lagrangian cone structures via pseudo-product structures of type $G_2$. A local example of non-flat perturbations of the global model of flat Lagrangian cone structure which corresponds to $(2,3,5)$-distributions is given." @default.
- W2887742355 created "2018-08-22" @default.
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- W2887742355 date "2018-07-31" @default.
- W2887742355 modified "2023-09-23" @default.
- W2887742355 title "Duality of (2,3,5)-distributions and Lagrangian cone structures" @default.
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- W2887742355 doi "https://doi.org/10.48550/arxiv.1808.00149" @default.
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