Add to ORKGLet (M,F) be a compact codimension-one foliated manifold whose leaves are equipped 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. Our main result is that codimension-one foliated bundles over compact negatively curved manifolds satisfy the Liouville property. Related results for R-covered foliations, as well as for discrete group actions and discrete harmonic functions, are also established
Metrics of constant negative curvature on a compact Riemann surface are critical points of the Liouv...
International audienceA holomorphic foliation $\mathscr{F}$ on a compact complex manifold $M$ is sai...
AbstractIn this paper we develop a theory for harmonic maps which is analogous to the classical theo...
Let (M,F) be a compact codimension-one foliated manifold whose leaves are equipped with Riemannian m...
Let (M,F) be a compact codimension-one foliated manifold whose leaves are equipped with Riemannian m...
Let (M,F) be a compact codimension-one foliated manifold whose leaves are equipped with Riemannian m...
Let (M,F) be a compact codimension-one foliated manifold whose leaves are equipped with Riemannian m...
AbstractBy using probabilistic approaches, Liouville theorems are proved for a class of Riemannian m...
By using probabilistic approaches, Liouville theorems are proved for a class of Riemannian manifolds...
By using probabilistic approaches, Liouville theorems are proved for a class of Riemannian manifolds...
Let ℱ be a codimension one foliation on a closed manifold ℳ which admits a transverse dimens...
The classical Liouville theorem states that a bounded harmonic function on allofRnmust be constant. ...
AbstractBy using probabilistic approaches, Liouville theorems are proved for a class of Riemannian m...
Metrics of constant negative curvature on a compact Riemann surface are critical points of the Liouv...
Suppose that Af is a complete Riemannian manifolds with nonnegative sectional curvature. We prove th...
Metrics of constant negative curvature on a compact Riemann surface are critical points of the Liouv...
International audienceA holomorphic foliation $\mathscr{F}$ on a compact complex manifold $M$ is sai...
AbstractIn this paper we develop a theory for harmonic maps which is analogous to the classical theo...
Let (M,F) be a compact codimension-one foliated manifold whose leaves are equipped with Riemannian m...
Let (M,F) be a compact codimension-one foliated manifold whose leaves are equipped with Riemannian m...
Let (M,F) be a compact codimension-one foliated manifold whose leaves are equipped with Riemannian m...
Let (M,F) be a compact codimension-one foliated manifold whose leaves are equipped with Riemannian m...
AbstractBy using probabilistic approaches, Liouville theorems are proved for a class of Riemannian m...
By using probabilistic approaches, Liouville theorems are proved for a class of Riemannian manifolds...
By using probabilistic approaches, Liouville theorems are proved for a class of Riemannian manifolds...
Let ℱ be a codimension one foliation on a closed manifold ℳ which admits a transverse dimens...
The classical Liouville theorem states that a bounded harmonic function on allofRnmust be constant. ...
AbstractBy using probabilistic approaches, Liouville theorems are proved for a class of Riemannian m...
Metrics of constant negative curvature on a compact Riemann surface are critical points of the Liouv...
Suppose that Af is a complete Riemannian manifolds with nonnegative sectional curvature. We prove th...
Metrics of constant negative curvature on a compact Riemann surface are critical points of the Liouv...
International audienceA holomorphic foliation $\mathscr{F}$ on a compact complex manifold $M$ is sai...
AbstractIn this paper we develop a theory for harmonic maps which is analogous to the classical theo...