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. 
@article{MZM_2007_81_4_a9,
     author = {O. V. Leibina},
     title = {On {Complex} {Submanifolds} {Whose} {Grassmann} {Image} {Has} {Maximal} {Holomorphic} {Curvature}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {561--568},
     publisher = {mathdoc},
     volume = {81},
     number = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_4_a9/}
}
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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/