This article is cited 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.

UDC: 514

Received: 20.10.2003

DOI: 10.4213/mzm3699

 English version: Mathematical Notes, 2007, 81:4, 496–502

Bibliographic databases:

• 
• 
• 
• 
• 
•