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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Authors: dos Santos, J.P., Tenenblat, K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149203
• 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.

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...