The submanifold geometries associated to Grassmannian systems / Martina Brück [and others]
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Online Access: |
Full Text (via ProQuest) |
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Other Authors: | |
Format: | eBook |
Language: | English |
Published: |
Providence, RI :
American Mathematical Society,
2002.
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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.