Geodesic
Nontaut foliations and isoperimetric constants
Konrad Blachowski1
1 Faculty of Mathematics University of /Lód/x Banacha 22 90-238 /Lódź, Poland
Annales Polonici Mathematici, Tome 78 (2002) no. 2, pp. 97-110

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap78-2-1
Keywords: study nontaut codimension foliations closed riemannian manifolds estimate constant derived mean curvature function leaves foliation isoperimetric constant manifold moreover foliated tori dimensional unit sphere infimum former constants nontaut codimension foliations

Konrad Blachowski 1

1 Faculty of Mathematics University of /Lód/x Banacha 22 90-238 /Lódź, Poland 
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Konrad Blachowski. Nontaut foliations and isoperimetric constants. Annales Polonici Mathematici, Tome 78 (2002) no. 2, pp. 97-110. doi: 10.4064/ap78-2-1

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