The Submanifold Geometries Associated to Grassmannian Systems

Martina Bruck, Xi Du, Joonsang Park, Chuu-Lian Terng (Autoren)

Buch | Softcover

95 Seiten

2002 | illustrated Edition
American Mathematical Society (Verlag)
978-0-8218-2753-6 (ISBN)

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This work is intended for graduate students and research mathematicians interested in differential geometry and partial differential equations.

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.

Erscheint lt. Verlag	1.4.2002
Reihe/Serie	Memoirs of the American Mathematical Society
Zusatzinfo	bibliography
Verlagsort	Providence
Sprache	englisch
Gewicht	227 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-2753-7 / 0821827537
ISBN-13	978-0-8218-2753-6 / 9780821827536
Zustand	Neuware