Zero sets of Abelian Lie algebras of vector fields

zbMath1387.37024arXiv1601.02992MaRDI QIDQ4604075

Morris W. Hirsch

Publication date: 23 February 2018

Full work available at URL: https://arxiv.org/abs/1601.02992

zbMATH Keywords

compact setanalytic vector fieldzero setreal manifoldabelian Lie algebra

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Dynamics induced by flows and semiflows (37C10) Orbit growth in dynamical systems (37C35)

Cites Work

• Common zeroes of families of smooth vector fields on surfaces
• Elementary zeros of Lie algebras of vector fields
• Analytic actions on compact surfaces and fixed points
• Common singularities of commuting vector fields on 2-manifolds
• Commuting vector fields on \(S^ 3\)
• Differential Topology
• Champs de vecteurs analytiques commutants, en dimension 3 ou 4: existence de zeros communs
• Smoothing Derivatives of Functions and Applications
• Differentiable dynamical systems
• A generalized Poincaré index formula
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item