Geodesic
Isometric immersions of two-dimensional Riemannian metrics in euclidean space
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 28 (1973) no. 4, pp. 47-77

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In this paper we consider the problem of global isometric immersions of two-dimensional Riemannian metrics in Euclidean space. The dimension of the ambient space depends on the character of the Riemannian metric in question. 
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     author = {\`E. G. Poznyak},
     title = {Isometric immersions of two-dimensional {Riemannian} metrics in euclidean space},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {47--77},
     publisher = {mathdoc},
     volume = {28},
     number = {4},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_1973_28_4_a2/}
}
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È. G. Poznyak. Isometric immersions of two-dimensional Riemannian metrics in euclidean space. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 28 (1973) no. 4, pp. 47-77. http://geodesic.mathdoc.fr/item/RM_1973_28_4_a2/