Geodesic
On~minimal volumes of topological globally minimal surfaces in cobordisms
Izvestiya. Mathematics , Tome 18 (1982) no. 1, pp. 163-183.

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This paper obtains a universal lower bound on the volumes of globally minimal surfaces of arbitrary codimension in cobordisms. The bound is exact in the sense that there are abundant series of minimal surfaces for which the bound becomes an equality. Bibliography: 11 titles. 
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A. T. Fomenko. On~minimal volumes of topological globally minimal surfaces in cobordisms. Izvestiya. Mathematics , Tome 18 (1982) no. 1, pp. 163-183. http://geodesic.mathdoc.fr/item/IM2_1982_18_1_a8/

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[2] Fomenko A. T., “Mnogomernye zadachi Plato na rimanovykh mnogoobraziyakh i ekstraordinarnye teorii gomologii i kogomologii, II”, Tr. seminara po vekt. i tenz. analizu, 18, MGU, 1978, 4–9 | MR

[3] Fomenko A. T., “Mnogomernaya zadacha Plato v rimanovykh mnogoobraziyakh”, Matem. sb., 89(131):3 (1972), 475–520 | MR

[4] Fomenko A. T., “Minimalnye kompakty v rimanovykh mnogoobraziyakh i gipoteza Raifenberga”, Izv. AN SSSR. Ser. matem., 36 (1972), 1049–1080 | MR

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[7] Ronkin L. I., “O diskretnykh mnozhestvakh edinstvennosti dlya tselykh funktsii eksponentsialnogo tipa mnogikh peremennykh”, Sib. matem. zh., 19:1 (1978), 142–152 | MR | Zbl

[8] Federer H., Geometric measure theory, Springer-Verlag, Berlin, Heidelberg, New-York, 1969 | MR

[9] Fomenko A. T., “Geometricheskie variatsionnye zadachi”, Sovremennye problemy matematiki. Itogi nauki i tekhniki, I, M., 1973, 39–60 | MR

[10] Milnor Dzh., Teorema ob $h$-kobordizme, Mir, M., 1969 | MR

[11] Zulanke R., Vintgen P., Differentsialnaya geometriya i rassloeniya, Mir, M., 1975