TY - BOOK AU - Brück,Martina AU - Du,Xi AU - Park,Joonsang AU - Terng,Chuu-Lian TI - Submanifold Geometries Associated to Grassmannian Systems T2 - Memoirs of the American Mathematical Society SN - 9781470403287 AV - QA613.6 -- .S83 2002eb U1 - 510 s;516.3/6 PY - 2002/// CY - Providence PB - American Mathematical Society KW - Grassmann manifolds KW - Submanifolds KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114522 ER -