Search results

Springer,1982.</ref> This is the case of codimension one, singular foliations <math>(M^n,F)</math>, with <math>n\ge 3</math>, and some center-type singul ...af.<ref>T.Inaba, ''<math>C^2</math> Reeb stability of noncompact leaves of foliations,''— Proc. Japan Acad. Ser. A Math. Sci., 59:158{160, 1983 [http://projecteu ...

* ''S. Novikov''. The topology of foliations//Trudy Moskov. Mat. Obshch, 1965, v. 14, p. 248&ndash;278.[http://www.mi.ra * ''I. Tamura''. Topology of foliations — AMS, v.97, 2006. ...

An advantage of Haefliger structures over foliations is that they are closed under [[Pullback (category theory)|pullbacks]]. Mor === Foliations === ...

== Measured foliations on surfaces == ...sphere (in the case of the torus it is the 2-sphere; there are no measured foliations on the sphere). ...

...sion'' ''r'' in an open set <math>D\subset X^{nr}</math> is a set of ''d'' foliations of codimension ''r'' which are in general position. In the notation ''W(d,n,r)'' the number ''d'' is the number of foliations forming a web, ''r'' is the web codimension, and ''n'' is the ratio of the ...

...the Thurston norm in their homology class are exactly the closed leaves of foliations of <math>M</math>.{{sfn|Gabai|1983}} *{{cite journal | last=Gabai | first=David | author-link=David Gabai|title=Foliations and the topology of 3-manifolds. | journal=[[Journal of Differential Geomet ...

| title = On foliations with Morse singularities [[Category:Foliations]] ...

In 1978, Edward Wagneur generalized the Reeb sphere theorem to Morse foliations with saddles. He showed that the number of centers cannot be too much as co | title = On foliations with Morse singularities ...

...ofs for center foliations of partially hyperbolic dynamical systems: these foliations are typically Hölder but not absolutely continuous. ...nal |first1=M. |last1=Shub |first2=A. |last2=Wilkinson |title=Pathological foliations and removable zero exponents |journal=Inventiones Mathematicae |volume=139 ...

|thesis_title = Foliations and the Geometry of Three-Manifolds *{{cite book |last=Calegari | first=Danny | title=Foliations and the geometry of 3-manifolds | series=Oxford Mathematical Monographs | p ...

...nificant result, [[Reeb stability theorem]], describes the local structure foliations around a [[Compact space|compact]] leaf with finite [[holonomy group]]. His works on foliations had also applications in [[Morse theory]]. In particular, the [[Reeb sphere ...

...rst1 = Jeffrey M. |last1=Lee|first2=Ken|last2=Richardson |title=Riemannian foliations and eigenvalue comparison |journal=Ann. Global Anal. Geom. |volume=16 |year ...

title=Nearly Kähler geometry and Riemannian foliations| ...

...last=McQuillan | first=Michael Liam | title=Diophantine approximations and foliations | journal= [[Publications Mathématiques de l'IHÉS]] | volume=87 | year=1998 ...

===Foliations and the Heisenberg group=== ...foliation]]s. [[#CITEREF—Singhof2001|Deninger & Singhof (2001)]] show that foliations on the above space ''X'', which satisfy only slightly weaker conditions, do ...

* with Marcel K. Sucheston: {{cite journal|title=Levi foliations in pseudoconvex boundaries and vector fields that commute approximately wit ...

...illie|first2=John|title=Hausdorff Dimension of Sets of Nonergodic Measured Foliations|journal=Annals of Mathematics|year=1991|volume=134|issue=3|pages=455–543|do ...

* {{cite journal |title=Geometric expansion, Lyapunov exponents and foliations |journal= Annales de l'Institut Henri Poincaré C|volume=26 |issue=2 |pages= ...