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Cartan Geometries and Their Symmetries: A Lie Algebroid Approach
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Bibliographic Detail
Publisher Atlantis Pr
Publication date June 16, 2016
Binding Hardcover
Book category Adult Non-Fiction
ISBN-13 9789462391918
ISBN-10 9462391912
Dimensions 0 by 6.10 by 9.25 in.
Original list price $109.00
Summaries and Reviews
Amazon.com description: Product Description:
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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Hardcover
Book cover for 9789462391918
 
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With Mike Crampin | from Atlantis Pr (June 16, 2016)
9789462391918 | details & prices | List price $109.00
About: In this book we first review the ideas of Lie groupoid and Lie algebroid, and the associated concepts of connection.

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