Geodesic
Boundary properties of surfaces with slowly varying negative curvature
Sbornik. Mathematics, Tome 11 (1970) no. 2, pp. 257-271

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In this paper surfaces with slowly varying negative Gaussian curvature are investigated. It appears that, under certain auxiliary conditions, which preclude the occurrence of branch points, the natural boundary of such surfaces includes a continuous, and moreover smooth, component arc. Figures: 3. Bibliography: 13 titles. 
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     author = {A. S. Vinogradskii},
     title = {Boundary properties of surfaces with slowly varying negative curvature},
     journal = {Sbornik. Mathematics},
     pages = {257--271},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_11_2_a9/}
}
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A. S. Vinogradskii. Boundary properties of surfaces with slowly varying negative curvature. Sbornik. Mathematics, Tome 11 (1970) no. 2, pp. 257-271. http://geodesic.mathdoc.fr/item/SM_1970_11_2_a9/