$W_{\infty}$--Geometry and Associated Continuous Toda System

Mikhail V. Saveliev; Svetlana A. Savelieva

doi:10.1016/0370-2693(93)91190-x

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arXiv · hep-th/9305152

$W_{\infty}$--Geometry and Associated Continuous Toda System

Mikhail V. Saveliev·Svetlana A. Savelieva

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Abstract

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 $W_{\infty}$--geometry of the self--dual Einstein space with the rotational Killing vector.

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Mikhail V. Saveliev, Svetlana A. Savelieva. 1993-05-27. $W_{\infty}$--Geometry and Associated Continuous Toda System. https://doi.org/10.1016/0370-2693(93)91190-x

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