On first integrals of the geodesic flow on Heisenberg nilmanifolds

DOI10.1016/j.difgeo.2016.08.004zbMath1353.53059arXiv1508.05286OpenAlexW3101623681WikidataQ115355627 ScholiaQ115355627MaRDI QIDQ344208

Silvio Reggiani, Alejandro Kocsard, Gabriela Paola Ovando

Publication date: 22 November 2016

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05286

zbMATH Keywords

integrabilityLie groupsgeodesic flowfirst integralsnilmanifoldsHeisenberg Lie group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) 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) Noncompact Lie groups of transformations (57S20)

Related Items (7)

Automorphism groups of pseudo \(H\)-type algebras ⋮ Unnamed Item ⋮ On the complete integrability of the geodesic flow of pseudo-\(H\)-type Lie groups ⋮ Complete classification of pseudo \(H\)-type algebras. II ⋮ Symmetric Killing tensors on nilmanifolds ⋮ The geodesic flow on nilpotent Lie groups of steps two and three ⋮ The geodesic flow on nilmanifolds associated to graphs

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