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Taimanov's surface evolution and Bäcklund transformations for curves

Author(s): Oscar Garay; Joel Langer
Journal: Conform. Geom. Dyn. 3 (1999), 37-49.
MSC (1991): Primary 35Q51, 35Q53, 53A05, 53A35, 53A30
Posted: March 25, 1999
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Abstract: Taimanov's evolution of conformally parametrized surfaces in Euclidean space by the modified Novikov-Veselov equation is interpreted here (in the revolution case) using hyperbolic geometry and Bäcklund transformations for curves.


References:

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Additional Information:

Oscar Garay
Affiliation: Department of Mathematics, Universidad Pais Vasco, Bilbao, Spain
Email: mtpgabeo@lg.ehu.es

Joel Langer
Affiliation: Department of Mathematics, Case Western Reserve University, Cleveland, Ohio 44106
Email: jxl6@po.cwru.edu

DOI: 10.1090/S1088-4173-99-00043-0
PII: S 1088-4173(99)00043-0
Received by editor(s): October 28, 1998
Posted: March 25, 1999
Additional Notes: We wish to acknowledge the support of the Departamento De Educacion, Universidades E Investigacion, Gobierno Vasco, for J. Langer's visit.
Copyright of article: Copyright 1999, American Mathematical Society


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