Geodesic
On the hyperbolicity criterion for noncompact Riemannian manifolds of special type
Matematičeskie zametki, Tome 59 (1996) no. 4, pp. 558-564

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In this paper we study the behavior of bounded harmonic functions on complete Riemannian manifolds (of a certain special type) depending on the geometry of the manifold. 
@article{MZM_1996_59_4_a7,
     author = {A. G. Losev},
     title = {On the hyperbolicity criterion for noncompact {Riemannian} manifolds of special type},
     journal = {Matemati\v{c}eskie zametki},
     pages = {558--564},
     publisher = {mathdoc},
     volume = {59},
     number = {4},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_4_a7/}
}
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A. G. Losev. On the hyperbolicity criterion for noncompact Riemannian manifolds of special type. Matematičeskie zametki, Tome 59 (1996) no. 4, pp. 558-564. http://geodesic.mathdoc.fr/item/MZM_1996_59_4_a7/