| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA641.SPR FCT 97092 (Browse shelf) | 1 | Available |
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| QA641.SPR FCT 96726 Geometry and analysis on manifolds | QA641.SPR FCT 96793 Geometry of hypersurfaces | QA641.SPR FCT 96914 Geometry of Cauchy-Riemann submanifolds | QA641.SPR FCT 97092 Cartan geometries and their symmetries | QA641.SPR FCT 97138 Information geometry and its applications | QA641.SPR FCT 97155 Ricci flow and geometric applications | QA641.SPR FCT 97158 Conformal symmetry breaking operators for differential forms on spheres |
Colocação: Online
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, using Lie algebroids rather than Lie groupoids, and in particular using Lie algebroids of vector fields along the projection of the fibre bundle, may be of benefit. We then introduce Cartan geometries, together with a number of tools we shall use to study them. We take, as particular examples, the four classical types of geometry: affine, projective, Riemannian and conformal geometry. We also see how our approach can start to fit into a more general theory. Finally, we specialize to the geometries (affine and projective) associated with path spaces and geodesics, and consider their symmetries and other properties.
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