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Mathematics of the USSR-Izvestiya, 1982, Volume 18, Issue 1, Pages 163–183
DOI: https://doi.org/10.1070/IM1982v018n01ABEH001378 (Mi im1553) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On minimal volumes of topological globally minimal surfaces in cobordisms

A. T. Fomenko
English version PDF (1155 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/IM1982v018n01ABEH001378
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.
Received: 25.12.1979
Bibliographic databases:
Document Type: Article
UDC: 519.3+513.834
MSC: Primary 53A10; Secondary 49F10, 55N22
Language: English
Original paper language: Russian
Citation: A. T. Fomenko, “On minimal volumes of topological globally minimal surfaces in cobordisms”, Math. USSR-Izv., 18:1 (1982), 163–183
Citation in format AMSBIB
\Bibitem{Fom81}
\by A.~T.~Fomenko
\paper On~minimal volumes of topological globally minimal surfaces in cobordisms
\jour Math. USSR-Izv.
\yr 1982
\vol 18
\issue 1
\pages 163--183
\mathnet{http://mi.mathnet.ru/eng/im1553}
\crossref{https://doi.org/10.1070/IM1982v018n01ABEH001378}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=607582}
\zmath{https://zbmath.org/?q=an:0484.49029|0473.49030}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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