Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Mathematics of the USSR-Sbornik, 1988, Volume 59, Issue 1, Pages 237–245
DOI: https://doi.org/10.1070/SM1988v059n01ABEH003133 (Mi sm1921) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Extrinsic dimensions of tubular minimal hypersurfaces

A. D. Vedenyapin, V. M. Miklyukov
English version PDF (553 kB) Citations (13)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1988v059n01ABEH003133
Abstract: It is established that every embedded minimal hypersurface in $R^{n+1}$ that is tubular with respect to some line has a bounded projection on that line for $n\geqslant3$. An estimate of the length of the projection is given, and it is shown that equality in this estimate can be attained only on a catenoid.
Bibliography: 12 titles.
Received: 15.10.1984 and 27.05.1985
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1986, Volume 131(173), Number 2(10), Pages 240–250
Bibliographic databases:
UDC: 517.9
MSC: 53A10
Language: English
Original paper language: Russian
Citation: A. D. Vedenyapin, V. M. Miklyukov, “Extrinsic dimensions of tubular minimal hypersurfaces”, Mat. Sb. (N.S.), 131(173):2(10) (1986), 240–250; Math. USSR-Sb., 59:1 (1988), 237–245
Citation in format AMSBIB
\Bibitem{VedMik86}
\by A.~D.~Vedenyapin, V.~M.~Miklyukov
\paper Extrinsic dimensions of tubular minimal hypersurfaces
\jour Mat. Sb. (N.S.)
\yr 1986
\vol 131(173)
\issue 2(10)
\pages 240--250
\mathnet{http://mi.mathnet.ru/sm1921}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=865937}
\zmath{https://zbmath.org/?q=an:0639.53007|0621.53006}
\transl
\jour Math. USSR-Sb.
\yr 1988
\vol 59
\issue 1
\pages 237--245
\crossref{https://doi.org/10.1070/SM1988v059n01ABEH003133}
Linking options:
  • https://www.mathnet.ru/eng/sm1921
  • https://doi.org/10.1070/SM1988v059n01ABEH003133
  • https://www.mathnet.ru/eng/sm/v173/i2/p240
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:321
    Russian version PDF:96
    English version PDF:15
    References:49
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024