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Mathematics of the USSR-Izvestiya, 1989, Volume 32, Issue 2, Pages 413–427
DOI: https://doi.org/10.1070/IM1989v032n02ABEH000773 (Mi im1186) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Minimal surfaces in homogeneous spaces

Lê Hông Vân
English version PDF (869 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1989v032n02ABEH000773
Abstract: A new method of proving the global minimality of closed submanifolds in Riemannian spaces, a development of the calibration method of Harvey and Lawson, is worked out. A criterion for global minimality of currents in compact homogeneous spaces is proved, and it is used to construct series of specific examples and prove a theorem about certain types of globally minimal surfaces in homogeneous spaces.
Bibliography: 10 titles.
Received: 24.07.1986
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1988, Volume 52, Issue 2, Pages 408–423
Bibliographic databases:
UDC: 517.97
MSC: Primary 53A10; Secondary 53C20, 53C40
Language: English
Original paper language: Russian
Citation: Lê Hông Vân, “Minimal surfaces in homogeneous spaces”, Izv. Akad. Nauk SSSR Ser. Mat., 52:2 (1988), 408–423; Math. USSR-Izv., 32:2 (1989), 413–427
Citation in format AMSBIB
\Bibitem{Le 88}
\by L\^e H\^ong V\^an
\paper Minimal surfaces in homogeneous spaces
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1988
\vol 52
\issue 2
\pages 408--423
\mathnet{http://mi.mathnet.ru/im1186}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=941683}
\zmath{https://zbmath.org/?q=an:0676.53070}
\transl
\jour Math. USSR-Izv.
\yr 1989
\vol 32
\issue 2
\pages 413--427
\crossref{https://doi.org/10.1070/IM1989v032n02ABEH000773}
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  • https://doi.org/10.1070/IM1989v032n02ABEH000773
  • https://www.mathnet.ru/eng/im/v52/i2/p408
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:250
    Russian version PDF:78
    English version PDF:20
    References:53
    First page:1
     
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