W∞-geometry and associated continuous Toda system

Mikhail V. Saveliev, Svetlana A. Savelieva
1993 Physics Letters B  
We discuss an infinite--dimensional kählerian manifold associated with the area--preserving diffeomorphisms on two--dimensional torus, and, correspondingly, with a continuous limit of the A_r--Toda system. In particular, a continuous limit of the A_r--Grassmannians and a related Plücker type formula are introduced as relevant notions for W_∞--geometry of the self--dual Einstein space with the rotational Killing vector.
doi:10.1016/0370-2693(93)91190-x fatcat:ejdkefqbabeafph33bgvf6cure