The Symmetry Group of Lamé's System and the Associated Guichard Nets for Conformally Flat Hypersurfaces

We consider conformally flat hypersurfaces in four dimensional space forms with their associated Guichard nets and Lamé's system of equations. We show that the symmetry group of the Lamé's system, satisfying Guichard condition, is given by translations and dilations in the independent vari...

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Bibliographic Details
Date:2013
Main Authors: dos Santos, J.P., Tenenblat, K.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/149203
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Symmetry Group of Lamé's System and the Associated Guichard Nets for Conformally Flat Hypersurfaces / J.P. dos Santos, K. Tenenblat // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 24 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine