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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)
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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
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  • https://doi.org/10.4213/mzm3699
  • https://www.mathnet.ru/eng/mzm/v81/i4/p561
    • This publication is cited in the following 1 articles:
    1. A. A. Borisenko, O. V. Leibina, “Chern–Lashof Absolute Curvature of Complex Submanifolds and Volumes of Grassmann Images”, Math. Notes, 81:5 (2007), 596–604  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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