M. Nieszporski, A. Sym, “Bäcklund transformations for hyperbolic surfaces in <nobr>$E^3$</nobr> via Weingarten congruences”, TMF, 2000, Volume 122, Number 1,Pages <nobr>102

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Bäcklund transformations for hyperbolic surfaces in $E^3$ via Weingarten congruences

M. Nieszporski, A. Sym

Warsaw University, Institute of Theoretical Physics

Abstract: An investigation of the so-called Weingarten congruences in $E^3$ yields a system of partial differential equations (describing hyperbolic surfaces in $E^3$) and also its Bäcklund transformation.

DOI: 10.4213/tmf558