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DUALITY OF (2,3,5)-DISTRIBUTIONS AND LAGRANGIAN CONE STRUCTURES
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| Title: | DUALITY OF (2,3,5)-DISTRIBUTIONS AND LAGRANGIAN CONE STRUCTURES |
| Authors: | Ishikawa, Goo Browse this author →KAKEN DB | | Kitagawa, Yumiko Browse this author | | Tsuchida, Asahi Browse this author | | Yukuno, Wataru Browse this author |
| Issue Date: | Sep-2021 |
| Publisher: | Cambridge University Press |
| Journal Title: | Nagoya mathematical journal |
| Volume: | 243 |
| Start Page: | 303 |
| End Page: | 315 |
| Publisher DOI: | 10.1017/nmj.2019.46 |
| 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. |
| Rights: | https://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/84205 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 石川 剛郎
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