Geodesic
On Complex Submanifolds Whose Grassmann Image Has Maximal Holomorphic Curvature
Matematičeskie zametki, Tome 81 (2007) no. 4, pp. 561-568

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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. 
O. V. Leibina. On Complex Submanifolds Whose Grassmann Image Has Maximal Holomorphic Curvature. Matematičeskie zametki, Tome 81 (2007) no. 4, pp. 561-568. http://geodesic.mathdoc.fr/item/MZM_2007_81_4_a9/
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