Grassmannians Gr(N-1,N+1), closed differential N-1 forms and N-dimensional integrable systems

L. V. Bogdanov, B. G. Konopelchenko

Integrable flows on the Grassmannians Gr(N-1,N+1) are defined by the requirement of closedness of the differential N-1 forms ${\Omega }_{N-1}$ of rank N-1 naturally associated with Gr(N-1,…