Lax type representation for embeddings of manifolds in non-Riemannian enveloping spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 65 (1985) no. 2, pp. 176-180 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $gl(N,\mathbf R)$.
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     title = {Lax type representation for embeddings of manifolds in {non-Riemannian} enveloping spaces},
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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/

[1] Yu. I. Manin (red.), Geometricheskie idei v fizike, Sb. statei, Mir, M., 1983 ; Манин Ю. И., Калибровочные поля и комплексная геометрия, Наука, М., 1984 ; Буллаф Р., Кодри Ф. (ред.), Солитоны, Сб. статей, Мир, М., 1983 | MR | MR

[2] Leznov A. N., Savelev M. V., Gruppovye metody integrirovaniya nelineinykh dinamicheskikh sistem, Nauka, M., 1985 | MR | Zbl

[3] Barbashov B. M., Nesterenko V. V., EChAYa, 15 (1984), 1032–1072

[4] Eisenhart L. P., Non-Reimannian Geometry, Amer. Math. Soc. Coll. Pub., VIII, N. Y., 1927 | MR

[5] Saveliev M. V., Commun. Math. Phys., 95 (1984), 199–216 | DOI | MR | Zbl

[6] Gabeskiria M. A., On Embedding Problem of Two-Dimensional Manifolds in Non-Riemannian Spaces, Preprint 84-169, IHEP, Serpukhov, 1984

[7] Kac V., Infinite-dimensional Lie algebras, Birkhäuser, Boston, 1983 | MR | Zbl