Reduction of volume-preserving flows on an \(n\)-dimensional manifold

DOI10.1007/s10255-003-0089-zzbMath1032.37016OpenAlexW2000538899MaRDI QIDQ1873590

Debin Huang, Yongai Zheng, Zeng-Rong Liu

Publication date: 4 February 2004

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-003-0089-z

zbMATH Keywords

symmetrygeometric approachvolume-preserving flows

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

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• Existence of invariant tori in three-dimensional measure-preserving mappings
• On the integrability and perturbation of three-dimensional fluid flows with symmetry
• Divergence-free vector-field and reduction.
• Reduction of the vector fields preserving \(n\)-form and the study of their interrelated problems
• Existence of invariant tori in volume-preserving diffeomorphisms
• Reduction of three-dimensional, volume-preserving flows with symmetry
• Volume-preserving integrators

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