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

• Published in: Nagoya mathematical journal Vol. 243; pp. 303 - 315
• Main Authors: ISHIKAWA, GOO, KITAGAWA, YUMIKO, TSUCHIDA, ASAHI, YUKUNO, WATARU
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 01.09.2021
• Subjects: Control theory; Lie groups; Perturbation; 53A55; 53C17; 53A20; 70F25; 58A30

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 cla...