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Introduction to Möbius differential geometry /
An introduction to the conformal differential geometry of surfaces and submanifolds. The book discusses those aspects of the geometry of surfaces that only refer to an angle measurement but not to a length measurement. The book presents different methods (models) for thinking about geometry and perf...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2003.
|
| Colección: | London Mathematical Society lecture note series ;
300. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preliminaries: the Riemannian point of view
- The projective model
- Application: conformally flat hypersurfaces
- Application: isothermic and Willmore surfaces
- A quaternionic model
- Application: smooth and discrete isothermic surfaces
- Clifford algebra model
- A Clifford algebra model: Vahlen matrices
- Applications: orthogonal systems, isothermic surfaces.