Harmonic functions on ℝ-covered foliations

S. Fenley; R. Feres; K. Parwani

doi:10.1017/S0143385708000643

Harmonic functions on ℝ-covered foliations

S. Fenley
, R. Feres
, K. Parwani

Eastern Illinois University

Florida State University
University of Washington

Research output: Contribution to journal › Article › peer-review

Original language	American English
Journal	Ergodic Theory and Dynamical Systems
Volume	29
DOIs	https://doi.org/10.1017/S0143385708000643
State	Published - Aug 1 2009

Disciplines

Analysis
Mathematics

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@article{b0159f4b92fc4d14bf435b3324619119,

title = "Harmonic functions on ℝ-covered foliations",

author = "S. Fenley and R. Feres and K. Parwani",

note = "Let (M,ℱ) be a compact codimension-one foliated manifold whose leaves are endowed with Riemannian metrics, and consider continuous functions on M that are harmonic along the leaves of ℱ. If every such function is constant on leaves, we say that (M,ℱ) has the Liouville property.",

year = "2009",

month = aug,

day = "1",

doi = "10.1017/S0143385708000643",

language = "American English",

volume = "29",

journal = "Ergodic Theory and Dynamical Systems",

}

TY - JOUR

T1 - Harmonic functions on ℝ-covered foliations

AU - Fenley, S.

AU - Feres, R.

AU - Parwani, K.

N1 - Let (M,ℱ) be a compact codimension-one foliated manifold whose leaves are endowed with Riemannian metrics, and consider continuous functions on M that are harmonic along the leaves of ℱ. If every such function is constant on leaves, we say that (M,ℱ) has the Liouville property.

PY - 2009/8/1

Y1 - 2009/8/1

UR - http://www.journals.cambridge.org/abstract_S0143385708000643

U2 - 10.1017/S0143385708000643

DO - 10.1017/S0143385708000643

M3 - Article

VL - 29

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

ER -

Harmonic functions on ℝ-covered foliations

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