Geodesic
The nonembeddability of complete $q$-metrics of negative curvature in a~class of weakly nonregular surfaces
Sbornik. Mathematics, Tome 18 (1972) no. 1, pp. 83-92

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In this paper it is proved that a regular complete two-dimensional Riemainnian metric $ds^2$, having curvature $K0$ subject to the condition $\sup|\frac\partial{\partial s}(|K|^{1/2})|+\infty$, cannot be embedded in $R^3$ in the class of smooth surfaces regular except at a number of isolated points. The result is extended to metrics with singular points. Bibliography: 12 titles. 
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     author = {\`E. R. Rozendorn},
     title = {The nonembeddability of complete $q$-metrics of negative curvature in a~class of weakly nonregular surfaces},
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     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1972_18_1_a4/}
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È. R. Rozendorn. The nonembeddability of complete $q$-metrics of negative curvature in a~class of weakly nonregular surfaces. Sbornik. Mathematics, Tome 18 (1972) no. 1, pp. 83-92. http://geodesic.mathdoc.fr/item/SM_1972_18_1_a4/