Resumen de On biparabolicity of Riemannian manifolds

Shokoufe Faraji, Alexander Grigor'yan

• A Riemannian manifold is called biparabolic if any positive bisuperharmonic function is harmonic. We provide a criterion of biparabolicity in terms of the Green function of the Laplacian, as well as a sharp sufficient condition for biparabolicity in terms of the volume growth function.