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Duality of (2,3,5)-distributions and Lagrangian cone structures
Goo Ishikawa, Yumiko Kitagawa, Asahi Tsuchida +1
As was shown by a part of the authors, for a given -distribution on a -dimensional manifold , there is, locally, a Lagrangian cone structure on another …
Dependence of vector fields and singular controls
Goo Ishikawa, Wataru Yukuno
We show an example providing a significance in geometric control theory of the existence of the dependence locus of a system of vector fields in particular, the generic appearance…
Duality on geodesics of Cartan distributions and sub-Riemannian pseudo-product structures
G. Ishikawa, Y. Kitagawa, W. Yukuno
Given a five dimensional space endowed with a Cartan distribution, the abnormal geodesics form another five dimensional space with a cone structure. Then it is shown, if the cone s…
Duality of singular paths for (2,3,5)-distributions
Goo Ishikawa, Yumiko Kitagawa, Wataru Yukuno
We show a duality which arises from distributions of Cartan type, having growth (2, 3, 5), from the view point of geometric control theory. In fact we consider the space of singula…