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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1981 Volume 45, Issue 1, Pages 187–213 (Mi im1553)

This article is cited in 3 papers

On minimal volumes of topological globally minimal surfaces in cobordisms

A. T. Fomenko


Abstract: 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.

UDC: 519.3+513.834

MSC: Primary 53A10; Secondary 49F10, 55N22

Received: 25.12.1979


 English version:
Mathematics of the USSR-Izvestiya, 1982, 18:1, 163–183

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