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.
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Original Russian Text © A. A. Borisenko, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 4, pp. 504–509.
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Borisenko, A.A. Immersion of Kähler manifolds in the class of convex submanifolds. Math Notes 100, 526–530 (2016). https://doi.org/10.1134/S0001434616090236
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DOI: https://doi.org/10.1134/S0001434616090236