Continuous leafwise harmonic functions on codimension one transversely isometric foliations

Let ℱ be a codimension one foliation on a closed manifold ℳ which admits a transverse dimension one Riemannian foliation. Then any continuous leafwise harmonic functions are shown to be constant on leaves.

Bibliographic Details
Main Author: Shigenori Matsumoto
Format: Article
Language:English
Published: American Mathematical Society 2014-04-01
Series:Proceedings of the American Mathematical Society, Series B
Subjects:
Online Access:http://www.ams.org/bproc/2014-01-06/S2330-1511-2014-00008-0/