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,...
| Κύριοι συγγραφείς: | , |
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| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2016.
|
| Σειρά: | Atlantis Studies in Variational Geometry,
4 |
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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. .
