Geodesic
The multidimensional plateau problem in Riemannian varieties
Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 159-167.

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This paper is the author's abstract of his dissertation for the degree of Doctor of Physico-Mathematical Sciences. The dissertation was defended on September 29, 1972 at a session of the Council of the Mechanico-Mathematical Faculty of M. V. Lomonosov Moscow University. The official opponents were Prof. V. M. Alekseev, Doctor of Phys.-Mat. Sci.; Prof. D. V. Anosov, Doctor of Phys.-Mat. Sci.; and Prof. M. M. Postnikov, Doctor of Phys.-Mat. Sci. 
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     title = {The multidimensional plateau problem in {Riemannian} varieties},
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A. T. Fomenko. The multidimensional plateau problem in Riemannian varieties. Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 159-167. http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a18/