Geodesic
Embedding two-dimensional metrics in~$E^4$
Matematičeskie zametki, Tome 21 (1977) no. 2, pp. 137-140.

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It is shown that the results of È. G. Poznyak on the embedding of a two-dimensional metric in $E^4$ can be extended to the case of metrics and embeddings of class $C^{2,\alpha}$. 
@article{MZM_1977_21_2_a0,
     author = {I. Kh. Sabitov},
     title = {Embedding two-dimensional metrics in~$E^4$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {137--140},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_2_a0/}
}
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I. Kh. Sabitov. Embedding two-dimensional metrics in~$E^4$. Matematičeskie zametki, Tome 21 (1977) no. 2, pp. 137-140. http://geodesic.mathdoc.fr/item/MZM_1977_21_2_a0/