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$W_{\infty}$--Geometry and Associated Continuous Toda System by Saveliev, Mikhail V.; Savelieva, Svetlana A. is a scholarly article available to read on EtoBox.

What is $W_{\infty}$--Geometry and Associated Continuous Toda System about?

We discuss an infinite--dimensional k\"ahlerian 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 Pl\"ucker type formula are introduced as relevant notions for $W_{\infty}$--geometry of the self--dual Einstein space with the rotational Killing vector.

Author

Saveliev, Mikhail V.; Savelieva, Svetlana A.

Published

1993

Language

EN