Bi-Hamiltonian structure of a unit geodesic vector field on a 3D space of constant negative curvature

DOI10.1016/j.geomphys.2024.105115OpenAlexW4391180424WikidataQ129541547 ScholiaQ129541547MaRDI QIDQ6123206

T. Bayrakdar

Publication date: 4 March 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2024.105115

zbMATH Keywords

bi-Hamiltonian structureunit geodesic vector fieldspace of constant negative curvatureCauchy-Riemann vector field

Mathematics Subject Classification ID

Local Riemannian geometry (53B20) Dynamical systems and ergodic theory (37-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hamiltonian structure and first integrals for the Lotka-Volterra systems
• Bi-Hamiltonian structure in Frenet-Serret frame
• The Schouten-Nijenhuis bracket and interior products
• Minimal surfaces in three-dimensional Riemannian manifold associated with a second-order ODE
• Characteristic forms and geometric invariants
• Global existence of bi-Hamiltonian structures on orientable three-dimensional manifolds
• A totally geodesic property of Hopf vector fields
• Cauchy-Riemann vector fields
• Poisson structure of dynamical systems with three degrees of freedom
• Differentiable Manifolds
• Some Cohomology Classes in Principal Fiber Bundles and Their Application to Riemannian Geometry
• $3D$-flows generated by the curl of a vector potential & Maurer-Cartan equations

This page was built for publication: Bi-Hamiltonian structure of a unit geodesic vector field on a 3D space of constant negative curvature