Fixed points of nilpotent actions on

DOI10.1017/etds.2014.58zbMath1354.37049arXiv1208.4510OpenAlexW2279619858MaRDI QIDQ2793104

Javier Ribón

Publication date: 15 March 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4510

zbMATH Keywords

fixed pointnilpotent subgroupdiffeomorphisms of \(\mathbb{S}^{2}\)

Mathematics Subject Classification ID

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) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Noncompact Lie groups of transformations (57S20)

Related Items (4)

Finite orbits for nilpotent actions on the torus ⋮ Global fixed points for nilpotent actions on the torus ⋮ A note on fixed points of abelian actions in dimension one ⋮ Fixed points for nilpotent actions on the plane and the Cartwright-Littlewood theorem

Cites Work

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• Common singularities of commuting vector fields on 2-manifolds
• Fixed points of Abelian actions
• Periodic orbits and fixed points of a C¹ orientation-preserving embedding of D²
• Pourquoi les points périodiques des homéomorphismes du plan tournent-ils autour de certains points fixes ?
• Fixed points of Lie group actions on surfaces
• [https://portal.mardi4nfdi.de/wiki/Publication:4288848 Sur les groupes engendr�s par des diff�omorphismes proches de l'identit�]
• Fixed points of abelian actions on S²
• The Nielsen realization problem

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