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Bäcklund theorems in three-dimensional de Sitter space and anti-de Sitter space

✍ Scribed by Dafeng Zuo; Qing Chen; Yi Cheng

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
169 KB
Volume
44
Category
Article
ISSN
0393-0440

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✦ Synopsis

In three-dimensional de Sitter space S 3 1 and anti-de Sitter space H 3 1 , we generalize the classical Bäcklund theorem. Moreover, we obtain explicit forms of Bäcklund transformations (BTs) in the Tchebyshev coordinates and investigate the relation of loop group actions and BTs in S 3 1 .

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