Email this article Immersion of Kähler manifolds in the class of convex submanifolds
- Authors: Borisenko A.A.1
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Affiliations:
- Sumy State University
- Issue: Vol 100, No 3-4 (2016)
- Pages: 526-530
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149762
- DOI: https://doi.org/10.1134/S0001434616090236
- ID: 149762
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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.
About the authors
A. A. Borisenko
Sumy State University
Author for correspondence.
Email: aborisenk@gmail.com
Ukraine, Sumy
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