Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2016, Volume 100, Issue 4, Pages 504–509
DOI: https://doi.org/10.4213/mzm10441 (Mi mzm10441) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Immersion of Kähler Manifolds in the Class of Convex Submanifolds

A. A. Borisenko

Sumy State University
Full-text PDF (408 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10441
Abstract: It is proved that a real complete convex Kähler submanifold in Euclidean space splits as a metric product of two-dimensional surfaces of positive Gaussian curvature in Euclidean 3-space and a Euclidean subspace. A theorem of V. K. Beloshapka and S. N. Bychkov is generalized to the case of convex submanifolds of any codimension.
Keywords: Kähler manifold, convex submanifold, extrinsic null-index, pluriharmonicity index.
Received: 16.01.2014
Revised: 17.11.2015
English version:
Mathematical Notes, 2016, Volume 100, Issue 4, Pages 526–530
DOI: https://doi.org/10.1134/S0001434616090236
Bibliographic databases:
Document Type: Article
UDC: 514.774.2
Language: Russian
Citation: A. A. Borisenko, “Immersion of Kähler Manifolds in the Class of Convex Submanifolds”, Mat. Zametki, 100:4 (2016), 504–509; Math. Notes, 100:4 (2016), 526–530
Citation in format AMSBIB
\Bibitem{Bor16}
\by A.~A.~Borisenko
\paper Immersion of K\"ahler Manifolds in the Class of Convex Submanifolds
\jour Mat. Zametki
\yr 2016
\vol 100
\issue 4
\pages 504--509
\mathnet{http://mi.mathnet.ru/mzm10441}
\crossref{https://doi.org/10.4213/mzm10441}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588872}
\elib{https://elibrary.ru/item.asp?id=27349869}
\transl
\jour Math. Notes
\yr 2016
\vol 100
\issue 4
\pages 526--530
\crossref{https://doi.org/10.1134/S0001434616090236}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000386774200023}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84992161370}
Linking options:
  • https://www.mathnet.ru/eng/mzm10441
  • https://doi.org/10.4213/mzm10441
  • https://www.mathnet.ru/eng/mzm/v100/i4/p504
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024