Exact classification of nondegenerate divergence-free vector fields on surfaces of small genus

DOI10.1007/BF02675069zbMath0967.37013MaRDI QIDQ1569774

Boris S. Kruglikov

Publication date: 1 April 2001

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

classificationvector field on surface

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Flows on surfaces (37E35)

Related Items (1)

Geometry of integrable dynamical systems on 2-dimensional surfaces

Cites Work

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• Crofton's function and inversion formulas in real integral geometry
• Le lemme de Morse isochore
• Exact smooth classification of Hamiltonian vector fields on two-dimensional manifolds
• A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom
• A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom

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