SECTIONAL CURVATURES AND THE SEPARATION SET OF THE COMPLEX PROJECTIVE SPACE IN ITS PLUECKER MODEL

摘要

The Pluecker embedding of the complex projective space CP~(k-1) in the Grassmannian G_(2,2k)~+ of bivectors is used for proving several theorems on the relationship between the complex structure of CP~(k-1) and its Riemannian geometry. It is shown that the separation set of CP~(k-1) in the Pluecker model is the face of G_(2,2k)~+ for a certain calibration.