DUALITY OF (2,3,5)-DISTRIBUTIONS AND LAGRANGIAN CONE STRUCTURES

Ishikawa, Goo; Kitagawa, Yumiko; Tsuchida, Asahi et al.

Nagoya mathematical journal, 2021, 243, 303-315

Permalink : https://hdl.handle.net/2115/84205

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Nagoya Math. J. 243_303 - 315	pdf	112 KB	332

アクセス権	open access
URI	https://hdl.handle.net/2115/84205
タイトル	DUALITY OF (2,3,5)-DISTRIBUTIONS AND LAGRANGIAN CONE STRUCTURES
著者	Ishikawa, Goo ; Kitagawa, Yumiko ; Tsuchida, Asahi ; Yukuno, Wataru
e-Rad_Researcher 50176161 著者名 Ishikawa, Goo
著者名 Kitagawa, Yumiko
著者名 Tsuchida, Asahi
著者名 Yukuno, Wataru
言語	英語
発行日	2021-09
出版者	Cambridge University Press
収録物名	Nagoya mathematical journal
巻(号)	243
ページ	303-315
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
PISSN	0027-7630
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1017/nmj.2019.46