TY  - BOOK
AU  - Br�uck,Martina
TI  - The submanifold geometries associated to Grassmannian systems
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470403287 (online)
AV  - QA3QA613.6 .A57 no. 735
U1  - 510 s516.3/6 21
PY  - 2002///
CY  - Providence, RI
PB  - American Mathematical Society
KW  - Grassmann manifolds
KW  - Submanifolds
N1  - "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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0735
UR  - http://dx.doi.org/10.1090/memo/0735
ER  -