English

Conitinuous leafwise harmonic functions on codimension one transversely isometric foliations

Dynamical Systems 2014-05-01 v1

Abstract

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

Keywords

Cite

@article{arxiv.1306.0058,
  title  = {Conitinuous leafwise harmonic functions on codimension one transversely isometric foliations},
  author = {Shigenori Matsumoto},
  journal= {arXiv preprint arXiv:1306.0058},
  year   = {2014}
}

Comments

8 pages

R2 v1 2026-06-22T00:26:15.032Z