Primary singularities of vector fields on surfaces

DOI10.1007/s10711-019-00497-3OpenAlexW2989611859MaRDI QIDQ776209

D. Kharzeev

Publication date: 30 June 2020

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04533

zbMATH Keywords

surfacevector fieldsingularityzero setessential block

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Fixed-point and coincidence theorems (topological aspects) (54H25) Index theory and related fixed-point theorems on manifolds (58J20) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Cites Work

• Unnamed Item
• Common zeroes of families of smooth vector fields on surfaces
• Minimal sets of families of vector fields on compact surfaces
• Fixed-point free actions on compact surfaces
• Common singularities of commuting vector fields on 2-manifolds
• Zero sets of Lie algebras of analytic vector fields on real and complex two-dimensional manifolds
• Fixed points of Lie group actions on surfaces
• Differential Topology
• Existence of common zeros for commuting vector fields on three manifolds
• Champs de vecteurs analytiques commutants, en dimension 3 ou 4: existence de zeros communs
• A Generalization of a Poincare-Bendixson Theorem to Closed Two-Dimensional Manifolds

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