Integrable discrete nets in Grassmannians

Vsevolod E. Adler, Alexander I. Bobenko, Yuri B. Suris

We consider discrete nets in Grassmannians ${\mathbb{G}}_r^d$ which generalize Q-nets (maps ${\mathbb{Z}}^N\to {\mathbb{P}}^d$ with planar elementary quadrilaterals) and Darboux nets ($\m…