The submanifold geometries associated to Grassmannian systems / Martina Brück [and others]

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Bibliographic Details
Online Access: Full Text (via ProQuest)
Other Authors: Brück, Martina, 1970-
Format: eBook
Language:English
Published: Providence, RI : American Mathematical Society, 2002.
Series:Memoirs of the American Mathematical Society ; no. 735.
Subjects:
Table of Contents:
  • 1. Introduction 2. The $U/K$-system 3. $G_{m, n}$-systems 4. $Ĝ1_{m, n}$-systems 5. Moving frame method for submanifolds 6. Submanifolds associated to $G_{m, n}$-systems 7. Submanifolds associated to $Ĝ1_{m, n}$-systems 8. $Ĝ1_m,1$-systems and isothermic surfaces 9. Loop group action for $G_{m, n}$-systems 10. Ribaucour transformations for $G_{m, n}$-systems 11. Loop group actions for $Ĝ1_{m, n}$-systems 12. Ribaucour transformations for $Ĝ1_{m, n}$-systems 13. Darboux transformations for $Ĝ1_{m, n}$-systems 14. Bäcklund transformations and loop group factorizations 15. Permutability formula for Ribaucour transformations 16. The $U/K$-hierarchy and finite type solutions.