A counterexample to the periodic orbit conjecture in codimension 3

DOI10.2307/1971187zbMath0418.57013OpenAlexW2315827086WikidataQ123113697 ScholiaQ123113697MaRDI QIDQ1131765

David B. A. Epstein, Elmar Vogt

Publication date: 1978

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d19fc359472558d7a9ddd419c695d0d2364dd819

zbMATH Keywords

periodic flowsboundedness of the first return mapcompact foliations

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Foliations in differential topology; geometric theory (57R30)

Related Items (15)

Smooth foliations by circles of with unbounded periods and nonlinearizable multicentres ⋮ Properness of foliations ⋮ Pseudo-Riemannian geodesic foliations by circles ⋮ Foliations ⋮ Codimension one compact center foliations are uniformly compact ⋮ Hausdorff leaf spaces for foliations of codimension one ⋮ Compact dynamical foliations ⋮ Aperiodicity at the boundary of chaos ⋮ Existence of periodic orbits for geodesible vector fields on closed 3-manifolds ⋮ LS-category of compact Hausdorff foliations ⋮ The periodic orbit conjecture for steady Euler flows ⋮ Partially hyperbolic diffeomorphisms with a uniformly compact center foliation: the quotient dynamics ⋮ A foliation of \({\mathbb{R}}^ 3\) and other punctured 3-manifolds by circles ⋮ Regular and quasiregular isometric flows on Riemannian manifolds ⋮ Pointwise periodic flows induced by circle actions

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