%0 Journal Article %T Differential geometry of grassmannians and Plucker map %A Sasha Anan'in %A Carlos H. Grossi %J Mathematics %D 2009 %I arXiv %R 10.2478/s11533-012-0021-y %X 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. %U http://arxiv.org/abs/0907.4470v2