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- W3002317247 abstract "As was shown by a part of the authors, for a given $(2,3,5)$ -distribution $D$ on a five-dimensional manifold $Y$ , there is, locally, a Lagrangian cone structure $C$ on another five-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 nonflat perturbations of the global model of flat Lagrangian cone structure which corresponds to $(2,3,5)$ -distributions is given." @default.
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- W3002317247 date "2020-01-23" @default.
- W3002317247 modified "2023-09-25" @default.
- W3002317247 title "DUALITY OF (2, 3, 5)-DISTRIBUTIONS AND LAGRANGIAN CONE STRUCTURES" @default.
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- W3002317247 doi "https://doi.org/10.1017/nmj.2019.46" @default.
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