Geodesic
Quasiconformal Immersions of Riemannian Manifolds and a Picard Type Theorem
Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 3, pp. 37-48

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We study singularities of quasiconformal immersions of Riemannian manifolds and show that the phenomenon of compulsory continuation holds in dimension $n\ge3$. In particular, this result in a stronger version of the Picard theorem—one without omitted values. 
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     author = {V. A. Zorich},
     title = {Quasiconformal {Immersions} of {Riemannian} {Manifolds} and a {Picard} {Type} {Theorem}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {37--48},
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     number = {3},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2000_34_3_a3/}
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V. A. Zorich. Quasiconformal Immersions of Riemannian Manifolds and a Picard Type Theorem. Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 3, pp. 37-48. http://geodesic.mathdoc.fr/item/FAA_2000_34_3_a3/