Geodesic
Lax type representation for embeddings of manifolds in non-Riemannian enveloping spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 65 (1985) no. 2, pp. 176-180

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The Gauss, Peterson–Codazzi, and Ricci equations are reformulated for embeddings of manifolds in non-Riemannian eveloping spaces in the form of a Lax representation in a two-dimensional space, this being achieved by realization of the corresponding operators in the algebra $gl(N,\mathbf R)$. 
@article{TMF_1985_65_2_a1,
     author = {M. A. Gabeskiriya},
     title = {Lax type representation for embeddings of manifolds in {non-Riemannian} enveloping spaces},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {176--180},
     publisher = {mathdoc},
     volume = {65},
     number = {2},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_65_2_a1/}
}
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M. A. Gabeskiriya. Lax type representation for embeddings of manifolds in non-Riemannian enveloping spaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 65 (1985) no. 2, pp. 176-180. http://geodesic.mathdoc.fr/item/TMF_1985_65_2_a1/