Existence of common zeros for commuting vector fields on three manifolds
DOI10.5802/aif.3121zbMath1405.37026arXiv1504.06104OpenAlexW2962920741MaRDI QIDQ4557591
Christian Bonatti, Bruno Santiago
Publication date: 26 November 2018
Published in: Annales de l’institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.06104
Fixed-point theorems on manifolds (58C30) Dynamics induced by flows and semiflows (37C10) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)
Related Items (2)
Cites Work
- Unnamed Item
- Un point fixe commun pour des difféomorphismes commutants de \(S^ 2\). (A common fixed point for commutating diffeomorphisms of \(S^ 2\).)
- An elementary proof of a Lima's theorem for surfaces
- 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)
- Commuting homeomorphisms of \(S^ 2\)
- Fixed points of discrete nilpotent group actions on \(S^2\)
- Common singularities of commuting vector fields on 2-manifolds
- Fixed points of Abelian actions
- Champs de vecteurs analytiques commutants, en dimension 3 ou 4: existence de zeros communs
- A note on commuting diffeomorphisms on surfaces
- Fixed points of abelian actions on S2
- Commuting Functions with No Common Fixed Point
- Commuting Vector Fields on S 2
This page was built for publication: Existence of common zeros for commuting vector fields on three manifolds
