On extremal function of a modulus of a foliation
Differential Geometry
2012-05-08 v1
Abstract
We investigate the properties of a modulus of a foliation on a Riemannian manifold. We give necessary and sufficient conditions for the existence of an extremal function and state some of its properties. We obtain the integral formula which, in a sense, combines the integral over the manifold with integral over the leaves. We state the relation between an extremal function and the geometry of distribution orthogonal to a foliation.
Keywords
Cite
@article{arxiv.1205.1356,
title = {On extremal function of a modulus of a foliation},
author = {Malgorzata Ciska},
journal= {arXiv preprint arXiv:1205.1356},
year = {2012}
}
Comments
11 pages