Nontaut foliations and isoperimetric constants

• Autorzy: Konrad Blachowski
• Języki publikacji: EN

Abstrakty

EN

We study nontaut codimension one foliations on closed Riemannian manifolds. We find an estimate of some constant derived from the mean curvature function of the leaves of a foliation by some isoperimetric constant of the manifold. Moreover, for foliated 2-tori and the 3-dimensional unit sphere, we find the infimum of the former constants for all nontaut codimension one foliations.

Kategorie tematyczne

• 53C12: Foliations (differential geometric aspects)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2002
• Tom: 78
• Numer: 2
• Strony: 97-110

Daty

wydano

2002

Twórcy

autor

Konrad Blachowski

• Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Identyfikatory

DOI

10.4064/ap78-2-1