Families of metrics geodesically equivalent to the analogs of the Poisson sphere

DOI10.1063/1.1310356zbMath1001.53005OpenAlexW1988318703MaRDI QIDQ2738265

Peter J. Topalov

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1310356

zbMATH Keywords

geodesic equivalencePoisson spherefree motion of rigid body

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geodesic flows in symplectic geometry and contact geometry (53D25) Local Riemannian geometry (53B20) Motion of a rigid body with a fixed point (70E17)

Related Items (5)

Applications of Nijenhuis geometry. V: Geodesic equivalence and finite-dimensional reductions of integrable quasilinear systems ⋮ Conformal Killing tensors with vanishing torsion and the separation of variables in the Hamilton--Jacobi equation ⋮ Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics ⋮ Geodesic hierarchies and involutivity ⋮ Nijenhuis geometry

Cites Work

• Reduction of symplectic manifolds with symmetry
• Trajectory equivalence and corresponding integrals
• Hierarchy of integrable geodesic flows
• Integrability criterion of geodesical equivalence: hierarchies
• CONSTRUCTION OF COMPLETELY INTEGRABLE GEODESIC FLOWS ON COMPACT SYMMETRIC SPACES
• Integrable geodesic flows on homogeneous spaces

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