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Bäcklund transformations for hyperbolic surfaces inE 3 via Weingarten congruences

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Abstract

An investigation of the so-called Weingarten congruences inE 3 yields a system of partial differential equations (describing hyperbolic surfaces inE 3) and also its Bäcklund transformation.

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Authors and Affiliations

  1. Institute of Theoretical Physics, Warsaw University, Warsaw, Poland

    M. Nieszporski & A. Sym

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  1. M. Nieszporski
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  2. A. Sym
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 122, No. 1, pp. 102–117, January, 1999.

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Nieszporski, M., Sym, A. Bäcklund transformations for hyperbolic surfaces inE 3 via Weingarten congruences. Theor Math Phys 122, 84–97 (2000). https://doi.org/10.1007/BF02551172

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