Geodesic
THE NORMAL DUAL CONGRUENCES AND THE DUAL BIANCHI LATTICE
Glasgow mathematical journal, Tome 47 (2005) no. A, pp. 51-63

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DOI

The main goal of the paper is to find the discrete analogue of the Bianchi system in spaces of arbitrary dimension together with its geometric interpretation. We show that the proper geometric framework for such generalization is the language of dual quadrilateral lattices and of dual congruences. After introducing the notion of the dual Koenigs lattice in a projective space of arbitrary dimension, we define the discrete dual congruences and we present, as an important example, the normal dual discrete congruences. Finally, we introduce the dual Bianchi lattice as a dual Koenigs lattice allowing for a conjugate normal dual congruence, and we find its characterization in terms of a system of integrable difference equations.
DOI : 10.1017/S0017089505002284
Mots-clés : 37K25, 39A10, 52C99 
DOLIWA, ADAM. THE NORMAL DUAL CONGRUENCES AND THE DUAL BIANCHI LATTICE. Glasgow mathematical journal, Tome 47 (2005) no. A, pp. 51-63. doi: 10.1017/S0017089505002284
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     title = {THE {NORMAL} {DUAL} {CONGRUENCES} {AND} {THE} {DUAL} {BIANCHI} {LATTICE}},
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     year = {2005},
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