Geodesic
Integrable supermanifolds and associated nonlinear equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 367-372 Cet article a éte moissonné depuis la source Math-Net.Ru

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A construction of the author [1] is generalized to embeddings of supermanifolds $V_{2\mid 2}$ in an enveloping superspace equipped with the structure of a Lie superalgebra. The general treatment is illustrated by the example of the series $\text{sl}(n,n+1)$, in which the integrable supermanifolds are described by supersymmetric equations of the type of the two-dimensional Toda chain and, in particular, for $n=1$ the Liouville equation and the sine-Gordon equation. 
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     author = {M. V. Saveliev},
     title = {Integrable supermanifolds and associated nonlinear equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {367--372},
     year = {1984},
     volume = {59},
     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a3/}
}
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M. V. Saveliev. Integrable supermanifolds and associated nonlinear equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 367-372. http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a3/

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