The submanifold geometries associated to Grassmannian systems
著者
書誌事項
The submanifold geometries associated to Grassmannian systems
（Memoirs of the American Mathematical Society, no. 735）
American Mathematical Society, 2002
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注記
"January 2002, volume 155, number 735(first of 5 numbers)"
Includes bibliographical references (p. 94-95)
内容説明・目次
内容説明
This work is intended for graduate students and research mathematicians interested in differential geometry and partial differential equations.
目次
Introduction The $U/K$-system $G_{m,n}$-systems $G_{m,n}^1$-systems Moving frame method for submanifolds Submanifolds associated to $G_{m,n}$-systems Submanifolds associated to $G_{m,n}^1$-systems $G_{m,1}^1$-systems and isothermic surfaces Loop group action for $G_{m,n}$-systems Ribaucour transformations for $G_{m,n}$-systems Loop group action for $G_{m,n}^1$-systems Ribaucour transformations for $G_{m,n}^1$-systems Darboux transformations for $G_{m,1}^1$-systems Backlund transformations and loop group factorizations Permutability formula for ribaucour transformations The $U/K$-hierarchy and finite type solutions Pictures Bibliography.
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