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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
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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
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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