Gradient-like and integrable vector fields on \({\mathbb{R}}^ 2\)

DOI10.1007/BF01168748zbMath0564.58016MaRDI QIDQ1058212

Carmen C. Chicone, Paul E. Ehrlich

Publication date: 1984

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155039

zbMATH Keywords

geodesibilitygradient-like vector fieldRiemannian pregeodesibility

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (4)

Complete integrability beyond Liouville-Arnol'd ⋮ Symmetric submersions of \(\mathbb R^n \to \mathbb R^m\) ⋮ The Hamiltonization problem from a global viewpoint ⋮ Gradient systems of harmonic polynomials

Cites Work

• Diffeomorphisms of the circle and geodesic fields on Riemann surfaces of genus one
• Smoothing Derivatives of Functions and Applications
• Global Structure of Ordinary Differential Equations in the Plane
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