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4th Conference Geometry and Topology of Manifolds
April 28 - May 4, 2002
Technical University of Lodz; University Mining and Metallurgy, Cracow; Jagiellonian University, Cracow
Krynica, Poland

Organizers
Jan Kubarski (chairman), Lodz, Poland; Tomasz Rybicki, Cracow, Poland; Robert Wolak, Cracow, Poland

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The integrable geometric discretization of the Koenigs nets
by
Adam Doliwa
Institute of Theoretical Physics, Warsaw University

We introduce the Koenigs lattice, which is new integrable reduction of the quadrilateral lattice (discrete conjugate net). The discretization is performed by the natural extension of the basic geometric properties of the Koenigs net to the discrete level. We construct also the Darboux-type transformation of the Koenigs lattice and we show permutability of superpositions of such transformations, thus proving integrability of the Koenigs lattice. Details can be found in arXiv:nlin.SI/0203011.

Paper reference: arXiv:nlin.SI/0203011

Date received: April 18, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajc-13.