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.
@article{IM2_1982_18_1_a8,
author = {A. T. Fomenko},
title = {On~minimal volumes of topological globally minimal surfaces in cobordisms},
journal = {Izvestiya. Mathematics },
pages = {163--183},
publisher = {mathdoc},
volume = {18},
number = {1},
year = {1982},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1982_18_1_a8/}
}
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/