The submanifold geometries associated to Grassmannian systems / [electronic resource] Martina Br�uck ... [et al.].

Contributor(s): Br�uck, Martina, 1970-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 735Publication details: Providence, RI : American Mathematical Society, 2002Description: 1 online resource (viii, 95 p. : ill.)ISBN: 9781470403287 (online)Subject(s): Grassmann manifolds | SubmanifoldsAdditional physical formats: submanifold geometries associated to Grassmannian systems /DDC classification: 510 s | 516.3/6 LOC classification: QA3 | .A57 no. 735 | QA613.6Online resources: Contents | Contents
Contents:
1. Introduction 2. The $U/K$-system 3. $G_{m,n}$-systems 4. $G^1_{m,n}$-systems 5. Moving frame method for submanifolds 6. Submanifolds associated to $G_{m,n}$-systems 7. Submanifolds associated to $G^1_{m,n}$-systems 8. $G^1_m,1$-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 $G^1_{m,n}$-systems 12. Ribaucour transformations for $G^1_{m,n}$-systems 13. Darboux transformations for $G^1_{m,n}$-systems 14. B�acklund transformations and loop group factorizations 15. Permutability formula for Ribaucour transformations 16. The $U/K$-hierarchy and finite type solutions
Item type: E-BOOKS
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Link to resource Available EBK13188

"January 2002."

"Volume 155, number 735 (first of 5 numbers)."

Includes bibliographical references.

1. Introduction 2. The $U/K$-system 3. $G_{m,n}$-systems 4. $G^1_{m,n}$-systems 5. Moving frame method for submanifolds 6. Submanifolds associated to $G_{m,n}$-systems 7. Submanifolds associated to $G^1_{m,n}$-systems 8. $G^1_m,1$-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 $G^1_{m,n}$-systems 12. Ribaucour transformations for $G^1_{m,n}$-systems 13. Darboux transformations for $G^1_{m,n}$-systems 14. B�acklund transformations and loop group factorizations 15. Permutability formula for Ribaucour transformations 16. The $U/K$-hierarchy and finite type solutions

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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