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Submanifold Geometries Associated to Grassmannian Systems.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2002Copyright date: ©2002Edition: 1st edDescription: 1 online resource (111 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470403287
Subject(s): Genre/Form: Additional physical formats: Print version:: Submanifold Geometries Associated to Grassmannian SystemsDDC classification:
  • 510 s;516.3/6
LOC classification:
  • QA613.6 -- .S83 2002eb
Online resources:
Contents:
Intro -- Contents -- 1. Introduction -- 2. The U/K-system -- 3. G[sub(m,n)]-systems -- 4. G[sup(1)][sub(m,n)]-Systems -- 5. Moving frame method for submanifolds -- 6. Submanifolds associated to G[sub(m,n)]-systems -- 7. Submanifolds associated to G[sup(1)[sub(m,n)]-systems -- 8. G[sup(1)][sub(m,n)]-systems and isothermic surfaces -- 9. Loop group action for G[sup(m,n)]-systems -- 10. Ribaucour transformations for G[sup(m,n)]-systems -- 11. Loop group actions for G[sup(1)][sub(m,n)]-systems -- 12. Ribaucour transformations for G[sup(1)][sub(m,n)]-systems -- 13. Darboux transformations for G[sup(1)][sub(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 -- Pictures -- Bibliography.
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Intro -- Contents -- 1. Introduction -- 2. The U/K-system -- 3. G[sub(m,n)]-systems -- 4. G[sup(1)][sub(m,n)]-Systems -- 5. Moving frame method for submanifolds -- 6. Submanifolds associated to G[sub(m,n)]-systems -- 7. Submanifolds associated to G[sup(1)[sub(m,n)]-systems -- 8. G[sup(1)][sub(m,n)]-systems and isothermic surfaces -- 9. Loop group action for G[sup(m,n)]-systems -- 10. Ribaucour transformations for G[sup(m,n)]-systems -- 11. Loop group actions for G[sup(1)][sub(m,n)]-systems -- 12. Ribaucour transformations for G[sup(1)][sub(m,n)]-systems -- 13. Darboux transformations for G[sup(1)][sub(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 -- Pictures -- Bibliography.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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