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, 2007, Volume 81, Issue 4, Pages 561–568
DOI: https://doi.org/10.4213/mzm3699 (Mi mzm3699) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Complex Submanifolds Whose Grassmann Image Has Maximal Holomorphic Curvature

O. V. Leibina

V. N. Karazin Kharkiv National University
Full-text PDF (410 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm3699
Abstract: We show that if the holomorphic curvature of a complex Grassmann manifold in two-dimensional directions tangent to a nondegenerate Grassmann image of a nonsingular complex surface attains the maximal possible value along all directions, then the surface is a complex hypersurface.
Keywords: holomorphic curvature, Grassmann image of a complex surface, complex index of nullity, sectional curvature, normal curvature, normal connection, flat metric.
Received: 20.10.2003
English version:
Mathematical Notes, 2007, Volume 81, Issue 4, Pages 496–502
DOI: https://doi.org/10.1134/S0001434607030273
Bibliographic databases:
UDC: 514
Language: Russian
Citation: O. V. Leibina, “On Complex Submanifolds Whose Grassmann Image Has Maximal Holomorphic Curvature”, Mat. Zametki, 81:4 (2007), 561–568; Math. Notes, 81:4 (2007), 496–502
Citation in format AMSBIB
\Bibitem{Lei07}
\by O.~V.~Leibina
\paper On Complex Submanifolds Whose Grassmann Image Has Maximal Holomorphic Curvature
\jour Mat. Zametki
\yr 2007
\vol 81
\issue 4
\pages 561--568
\mathnet{http://mi.mathnet.ru/mzm3699}
\crossref{https://doi.org/10.4213/mzm3699}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2352022}
\zmath{https://zbmath.org/?q=an:1141.53046}
\elib{https://elibrary.ru/item.asp?id=9486225}
\transl
\jour Math. Notes
\yr 2007
\vol 81
\issue 4
\pages 496--502
\crossref{https://doi.org/10.1134/S0001434607030273}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000246269000027}
\elib{https://elibrary.ru/item.asp?id=13537745}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248330697}
Linking options:
  • https://www.mathnet.ru/eng/mzm3699
  • https://doi.org/10.4213/mzm3699
  • https://www.mathnet.ru/eng/mzm/v81/i4/p561
    • 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
    Statistics & downloads:
    Abstract page:310
    Full-text PDF :161
    References:51
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024