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Conformal Geometry and Dynamics
Conformal Geometry and Dynamics
ISSN 1088-4173

 

Taimanov's surface evolution and
Bäcklund transformations for curves


Authors: Oscar Garay and Joel Langer
Journal: Conform. Geom. Dyn. 3 (1999), 37-49
MSC (1991): Primary 35Q51, 35Q53, 53A05, 53A35, 53A30
Published electronically: March 25, 1999
MathSciNet review: 1684040
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Abstract | References | Similar Articles | Additional Information

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.


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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: http://dx.doi.org/10.1090/S1088-4173-99-00043-0
PII: S 1088-4173(99)00043-0
Received by editor(s): October 28, 1998
Published electronically: 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.
Article copyright: © Copyright 1999 American Mathematical Society