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The Submanifold Geometries Associated to Grassmannian Systems
 
Martina Brück
Xi Du
Joonsang Park :  Dongguk University, Seoul, Korea
Chuu-Lian Terng :  Northeastern University, Boston, MA
The Submanifold Geometries Associated to Grassmannian Systems
eBook ISBN:  978-1-4704-0328-7
Product Code:  MEMO/155/735.E
List Price: $59.00
MAA Member Price: $53.10
AMS Member Price: $35.40
Add to cart
The Submanifold Geometries Associated to Grassmannian Systems
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The Submanifold Geometries Associated to Grassmannian Systems
Martina Brück
Xi Du
Joonsang Park :  Dongguk University, Seoul, Korea
Chuu-Lian Terng :  Northeastern University, Boston, MA
eBook ISBN:  978-1-4704-0328-7
Product Code:  MEMO/155/735.E
List Price: $59.00
MAA Member Price: $53.10
AMS Member Price: $35.40
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 155; 2002; 95 pp
    MSC: Primary 53; 35
    Readership

    Graduate students and research mathematicians interested in differential geometry and partial differential equations.
  • Table of Contents
     
     
    • Chapters
    • 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. Bäcklund transformations and loop group factorizations
    • 15. Permutability formula for Ribaucour transformations
    • 16. The $U/K$-hierarchy and finite type solutions
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 155; 2002; 95 pp
MSC: Primary 53; 35
Readership

Graduate students and research mathematicians interested in differential geometry and partial differential equations.
  • Chapters
  • 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. Bäcklund transformations and loop group factorizations
  • 15. Permutability formula for Ribaucour transformations
  • 16. The $U/K$-hierarchy and finite type solutions
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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