Submanifold Geometries Associated to Grassmannian Systems.
- 1st ed.
- 1 online resource (111 pages)
- Memoirs of the American Mathematical Society ; v.155 .
- Memoirs of the American Mathematical Society .
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.