Concepedia

Codimension one foliations without compact leaves

Paul A. Schweitzer

Commentarii Mathematici Helvetici · 1995 · 12 citations · 18 references

DOI

Concepts

Abstract

A smooth closed connected manifold with Euler charactersitic zero and dimension greater than three has aC 1 codimension one foliation with no compact leaf.

References

18

Cycles for the dynamical study of foliated manifolds and complex manifolds

Dennis Sullivan · Inventiones mathematicae · 1976 · 362 citations

, , +11

Foliations With Measure Preserving Holonomy

J. F. Plante · Annals of Mathematics · 1975 · 252 citations

, , +6

Foliations and Pseudogroups

Richard Sacksteder · American Journal of Mathematics · 1965 · 192 citations

Existence of Codimension-One Foliations

William P. Thurston · Annals of Mathematics · 1976 · 174 citations

, , +8

Counterexamples to the Seifert Conjecture and Opening Closed Leaves of Foliations

Paul A. Schweitzer · Annals of Mathematics · 1974 · 139 citations

, , +3