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December 2020 Examples of 4-dimensional symplectic-Haantjes manifolds
Keiichi Kikuchi, Tsukasa Takeuchi
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SUT J. Math. 56(2): 93-108 (December 2020). DOI: 10.55937/sut/1609879491


Symplectic-Haantjes manifolds are constructed for several Hamiltonian systems following P. Tempesta and G. Tondo [14], which yield the complete integrability of systems.


The authors wish to thank Professor Akira Yoshioka for his comments on this paper. Without his guidance and persistent help this paper would not have been possible.


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Keiichi Kikuchi. Tsukasa Takeuchi. "Examples of 4-dimensional symplectic-Haantjes manifolds." SUT J. Math. 56 (2) 93 - 108, December 2020.


Received: 24 January 2020; Published: December 2020
First available in Project Euclid: 8 June 2022

Digital Object Identifier: 10.55937/sut/1609879491

Primary: 37J35 , 53C43 , 70H06

Keywords: Haantjes operator , Hamiltonian system , Hsiang-Lawson metric , Lenard-Haantjes chain , Minkowski metric , symplectic-Haantjes manifold

Rights: Copyright © 2020 Tokyo University of Science

Vol.56 • No. 2 • December 2020
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