Invariant Nijenhuis Tensors and Integrable Geodesic Flows

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Lompert, K., Panasyuk, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210239
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Invariant Nijenhuis Tensors and Integrable Geodesic Flows / K. Lompert, A. Panasyuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 33 назв. — англ.

We study invariant Nijenhuis (1,1)-tensors on a homogeneous space G/K of a reductive Lie group G from the point of view of integrability of a Hamiltonian system of differential equations with the G-invariant Hamiltonian function on the cotangent bundle T*(G/K). Such a tensor induces an invariant Poi...