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The submanifold geometries associated to Grassmannian systems / [electronic resource] Martina Br�uck ... [et al.]. - Providence, RI : American Mathematical Society, 2002. - 1 online resource (viii, 95 p. : ill.) - Memoirs of the American Mathematical Society, v. 735 0065-9266 (print); 1947-6221 (online); .

"January 2002." "Volume 155, number 735 (first of 5 numbers)."

Includes bibliographical references.

1. Introduction 2. The $U/K$-system 3. $G_$-systems 4. $G^1_$-systems 5. Moving frame method for submanifolds 6. Submanifolds associated to $G_$-systems 7. Submanifolds associated to $G^1_$-systems 8. $G^1_m,1$-systems and isothermic surfaces 9. Loop group action for $G_$-systems 10. Ribaucour transformations for $G_$-systems 11. Loop group actions for $G^1_$-systems 12. Ribaucour transformations for $G^1_$-systems 13. Darboux transformations for $G^1_$-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


Mode of access : World Wide Web

ISBN: 9781470403287 (online)

Subjects--Topical Terms:
Grassmann manifolds.
Submanifolds.

LC Class. No.: QA3 QA613.6 / .A57 no. 735

Dewey Class. No.: 510 s 516.3/6