INTEGRABILITY THEOREMS OF FREE SYSTEMS AND SYMPLECTIC HAANTJES STRUCTURES

被引：0

作者：

Kikuchi, Keiichi ^{[1
]}

Takeuchi, Tsukasa ^{[2
]}

机构：

[1] Tokai Univ, Dept Math, Minato Ku, Takanawa 2-3-23, Tokyo 1088619, Japan

[2] Tokyo Univ Sci, Dept Math, Shinjuku Ku, Kagurazaka 1-3, Tokyo 1628601, Japan

来源：

JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS | 2022年 / 63卷

关键词：

Affine Killing vector field; extended harmonic map; Haantjes operator; Hamiltonian of free system; symplectic-Haantjes manifold;

D O I：

10.7546/jgsp-63-2022-39-64

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：39 / 64

页数：26

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