Fixed points of discrete nilpotent group actions on \(S^2\)

DOI10.5802/aif.1912zbMath1005.37019arXivmath/0109015OpenAlexW2962843153MaRDI QIDQ1613973

Sebatião Firmo, Suely Druck, Fu-Quan Fang

Publication date: 3 September 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109015

zbMATH Keywords

diffeomorphisms of \(S^2\)

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Differential topological aspects of diffeomorphisms (57R50)

Related Items (9)

Existence of common zeros for commuting vector fields on three manifolds ⋮ Finite orbits for nilpotent actions on the torus ⋮ Global fixed points for nilpotent actions on the torus ⋮ Rigidity of trivial actions of abelian-by-cyclic groups ⋮ Fixed points of abelian actions on S² ⋮ Fixed points of nilpotent actions on ⋮ Any Baumslag–Solitar action on surfaces with a pseudo-Anosov element has a finite orbit ⋮ Des points fixes communs pour des difféomorphismes de qui commutent et préservent une mesure de probabilité ⋮ Fixed points for nilpotent actions on the plane and the Cartwright-Littlewood theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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)
• Foliations: geometric studies
• Commuting homeomorphisms of \(S^ 2\)
• Common singularities of commuting vector fields on 2-manifolds
• Fixed points of Lie group actions on surfaces
• Transformation Groups and Natural Bundles
• [https://portal.mardi4nfdi.de/wiki/Publication:4288848 Sur les groupes engendr�s par des diff�omorphismes proches de l'identit�]
• Commuting Vector Fields on S 2
• Commuting vector fields on 2-manifolds

This page was built for publication: Fixed points of discrete nilpotent group actions on \(S^2\)