A non-existence theorem of proper harmonic morphisms from weakly asymptotically hyperbolic manifolds
Mo, Xiaohuan ; Shi, Yuguang
Tohoku Math. J. (2), Tome 58 (2006) no. 1, p. 359-368 / Harvested from Project Euclid
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We prove a non-existence theorem for proper harmonic morphisms from weakly asymptotically hyperbolic manifolds to hyperbolic manifolds which are $C^2$ up to the boundary at infinity.
Publié le : 2006-09-14
Classification:  Harmonic morphism,  weakly asymptotically hyperbolic manifold,  conformally compact manifold,  proper map,  harmonic map,  53C55,  58E20 
@article{1163775135,
     author = {Mo, Xiaohuan and Shi, Yuguang},
     title = {A non-existence theorem of proper harmonic morphisms from weakly asymptotically hyperbolic manifolds},
     journal = {Tohoku Math. J. (2)},
     volume = {58},
     number = {1},
     year = {2006},
     pages = { 359-368},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1163775135}
}

Mo, Xiaohuan; Shi, Yuguang. A non-existence theorem of proper harmonic morphisms from weakly asymptotically hyperbolic manifolds. Tohoku Math. J. (2), Tome 58 (2006) no. 1, pp.  359-368. http://gdmltest.u-ga.fr/item/1163775135/