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Cartan Geometries and their Symmetries A Lie Algebroid Approach /
In this book we first review the ideas of Lie groupoid and Lie algebroid, and the associated concepts of connection. We next consider Lie groupoids of fibre morphisms of a fibre bundle, and the connections on such groupoids together with their symmetries. We also see how the infinitesimal approach,...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2016.
|
| Edición: | 1st ed. 2016. |
| Colección: | Atlantis Studies in Variational Geometry,
4 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Lie groupoids and Lie algebroids
- Connections on Lie groupoids and Lie algebroids
- Groupoids of fibre morphisms
- Four case studies
- Symmetries
- Cartan geometries
- A comparison with alternative approaches
- Infinitesimal Cartan geometries on TM
- Projective geometry: the full version
- Conformal geometry: the full version
- Developments and geodesics
- Cartan theory of second-order differential equations. .