Superharmonic Functions on Foliations

Scot Adams

Type: Article

Publication Date: 1992-04-01

Citations: 4

DOI: https://doi.org/10.2307/2153925

Abstract

We use techniques from geometric analysis to prove that any positive, leafwise superharmonic, measurable function on a Riemannian measurable foliation with transverse invariant measure, finite total volume and complete leaves is, in fact, constant on a.e.leaf.

Locations

Transactions of the American Mathematical Society - View - PDF

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