Differential geometry of grassmannians and Plucker map
arXiv:0907.4470 · doi:10.2478/s11533-012-0021-y
Abstract
Using the Plucker map between grassmannians, we study basic aspects of classic grassmannian geometries. For `hyperbolic' grassmannian geometries, we prove some facts (for instance, that the Plucker map is a minimal isometric embedding) that were previously known in the `elliptic' case.
12 pages. 2010 edition