Abstract
The Plücker model of the Grassmann manifold G +p,p+q is considered. The structure of intersections of G +p,p+q with tangent spaces of G +p,p+q regarded as subspaces of the ambient exterior algebra is described. An explicit formula for the second fundamental form of G +2,4 as of a hypersurface in the five-dimensional sphere is given. The level sets of the normal curvature functions for this hypersurface are studied. Bibliography: 3 titles.
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