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2022 Integrability Theorems of Free Systems and Symplectic Haantjes Structures
Keiichi Kikuchi, Tsukasa Takeuchi
J. Geom. Symmetry Phys. 63: 39-64 (2022). DOI: 10.7546/jgsp-63-2022-39-64

Abstract

Ikeda and Sakamoto studied a dynamical control problem called the linear first integral for holonomic dynamical systems, and our proposition proved the same result as theirs in integrability. Also, a symplectic Haantjes manifolds has been defined by Tempesta and Tondo, which is a characterization of integrable systems using $(1,1)$ tensor fields. We show integrability in dynamical control problems from a geometric point of view by means of a concrete construction of a symplectic Haantjes manifold.

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Keiichi Kikuchi. Tsukasa Takeuchi. "Integrability Theorems of Free Systems and Symplectic Haantjes Structures." J. Geom. Symmetry Phys. 63 39 - 64, 2022. https://doi.org/10.7546/jgsp-63-2022-39-64

Information

Published: 2022
First available in Project Euclid: 29 April 2022

Digital Object Identifier: 10.7546/jgsp-63-2022-39-64

Rights: Copyright © 2022 Bulgarian Academy of Sciences, Institute of Mechanics

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