arXiv:1205.1356 Abstract | arXiv Analytics

arXiv:1205.1356 [math.DG]Abstract References Reviews Resources

On extremal function of a modulus of a foliation

Published 2012-05-07Version 1

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.

Comments: 11 pages

Categories: math.DG

Subjects: 53C12, 58C35

Keywords: extremal function, distribution orthogonal, sufficient conditions, properties, riemannian manifold

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