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This article is cited in 1 scientific paper (total in 1 paper)
On Complex Submanifolds Whose Grassmann Image Has Maximal Holomorphic Curvature
O. V. Leibina V. N. Karazin Kharkiv National University
Abstract:
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.
Received: 20.10.2003
Citation:
O. V. Leibina, “On Complex Submanifolds Whose Grassmann Image Has Maximal Holomorphic Curvature”, Mat. Zametki, 81:4 (2007), 561–568; Math. Notes, 81:4 (2007), 496–502
Linking options:
https://www.mathnet.ru/eng/mzm3699https://doi.org/10.4213/mzm3699 https://www.mathnet.ru/eng/mzm/v81/i4/p561
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Abstract page: | 310 | Full-text PDF : | 161 | References: | 51 | First page: | 2 |
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