Geodesic
Immersion of K\"ahler Manifolds in the Class of Convex Submanifolds
Matematičeskie zametki, Tome 100 (2016) no. 4, pp. 504-509.

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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. 
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A. A. Borisenko. Immersion of K\"ahler Manifolds in the Class of Convex Submanifolds. Matematičeskie zametki, Tome 100 (2016) no. 4, pp. 504-509. http://geodesic.mathdoc.fr/item/MZM_2016_100_4_a2/

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