Champs de vecteurs analytiques commutants, en dimension 3 ou 4: existence de zeros communs
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Publication:5285718
DOI10.1007/BF01232943zbMath0776.57013MaRDI QIDQ5285718
Publication date: 29 June 1993
Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)
Vector fields, frame fields in differential topology (57R25) Real-analytic manifolds, real-analytic spaces (32C05)
Related Items (8)
Common zeroes of families of smooth vector fields on surfaces ⋮ Existence of common zeros for commuting vector fields on three manifolds ⋮ Fixed points of local actions of Lie groups on real and complex 2-manifolds ⋮ Fixed points of local actions of nilpotent Lie groups on surfaces ⋮ Smooth actions of Lie groups and Lie algebras on manifolds ⋮ Zero sets of Abelian Lie algebras of vector fields ⋮ Primary singularities of vector fields on surfaces ⋮ Zero sets of Lie algebras of analytic vector fields on real and complex two-dimensional manifolds
Cites Work
- Un point fixe commun pour des difféomorphismes commutants de \(S^ 2\). (A common fixed point for commutating diffeomorphisms of \(S^ 2\).)
- Difféomorphismes commutants des surfaces et stabilité des fibrations en tores. (Commuting diffeomorphisms of surfaces and stability of fibrations by tori)
- Une observation sur les actions de \({\mathbb{R}}^ p\) sur les variétés compactes de caractéristique non nulle
- Dimension des orbites d'une action de \({\mathbb{R}}^ p\) sur une variété compacte. (The dimension of orbits of \({\mathbb{R}}^ p\)-actions on compact manifolds)
- Semianalytic and subanalytic sets
- On Levi's problem and the imbedding of real-analytic manifolds
- Commuting homeomorphisms of \(S^ 2\)
- Common singularities of commuting vector fields on 2-manifolds
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