Geodesic
Isometric imbedding of a complete two-dimensional locally Euclidean manifold in a Euclidean space
Matematičeskie zametki, Tome 13 (1973) no. 3, pp. 427-429 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article we consider the problem of isometric imbedding of a complete two-dimensional locally Euclidean manifold in a Euclidean space. For each of the possible topological types the corresponding minimal dimension of the extending Euclidean space is indicated. 
@article{MZM_1973_13_3_a11,
     author = {A. B. Ivanov},
     title = {Isometric imbedding of a~complete two-dimensional locally {Euclidean} manifold in {a~Euclidean} space},
     journal = {Matemati\v{c}eskie zametki},
     pages = {427--429},
     year = {1973},
     volume = {13},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a11/}
}
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A. B. Ivanov. Isometric imbedding of a complete two-dimensional locally Euclidean manifold in a Euclidean space. Matematičeskie zametki, Tome 13 (1973) no. 3, pp. 427-429. http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a11/