Foliated vector fields without periodic orbits

DOI10.1007/s11856-016-1336-3zbMath1361.57035arXiv1412.0123OpenAlexW2964117868MaRDI QIDQ312281

Álvaro del Pino, Daniel Peralta-Salas, Francisco Presas

Publication date: 15 September 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0123

zbMATH Keywords

periodic orbitfoliated vector fieldparametric Kuperberg's plugparametric Wilson's plug

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Foliations in differential topology; geometric theory (57R30)

Related Items (2)

Steady Euler flows and Beltrami fields in high dimensions ⋮ Loose Engel structures

Cites Work

• Riemannian manifolds not quasi-isometric to leaves in codimension one foliations
• Counterexamples to the Seifert conjecture and opening closed leaves of foliations
• Compact leaves with Abelian holonomy
• Structure of codimension one foliations which are almost without holonomy
• On Reeb components
• A smooth counterexample to the Seifert conjecture
• On the minimal sets of non-singular vector fields
• The dynamics of generic Kuperberg flows
• The Foliated Weinstein Conjecture
• Closed Integral Curves in 3-Space and Isotopic Two-Dimensional Deformations
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