Nontaut foliations and isoperimetric constants

Konrad Blachowski. "Nontaut foliations and isoperimetric constants." Annales Polonici Mathematici 78.2 (2002): 97-110. <http://eudml.org/doc/280462>.

@article{KonradBlachowski2002,
abstract = {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.},
author = {Konrad Blachowski},
journal = {Annales Polonici Mathematici},
keywords = {foliation; Riemannian manifold; mean curvature; isoperimetric constant; positively foliated domains},
language = {eng},
number = {2},
pages = {97-110},
title = {Nontaut foliations and isoperimetric constants},
url = {http://eudml.org/doc/280462},
volume = {78},
year = {2002},
}

TY - JOUR
AU - Konrad Blachowski
TI - Nontaut foliations and isoperimetric constants
JO - Annales Polonici Mathematici
PY - 2002
VL - 78
IS - 2
SP - 97
EP - 110
AB - 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.
LA - eng
KW - foliation; Riemannian manifold; mean curvature; isoperimetric constant; positively foliated domains
UR - http://eudml.org/doc/280462
ER -