On the complete integrability of the geodesic flow of pseudo-\(H\)-type Lie groups

DOI10.1007/s13324-018-0250-8zbMath1404.53110OpenAlexW2894637190WikidataQ115376057 ScholiaQ115376057MaRDI QIDQ1755661

Daisuke Tarama, Wolfram Bauer

Publication date: 11 January 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-018-0250-8

zbMATH Keywords

pseudo-Riemannian metricKilling vector fieldsHamilton's equationpseudo-\(H\)-type nilmanifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nilpotent and solvable Lie groups (22E25) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (2)

Trivializable and quaternionic subriemannian structures on \({\mathbb{S}}^7\) and subelliptic heat kernel ⋮ The geodesic flow on nilpotent Lie groups of steps two and three

Cites Work

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