Cartan Geometries and their Symmetries

Name: Cartan Geometries and their Symmetries
SKU: 24610178
Price: 265.99 AUD
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A Lie Algebroid Approach

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Format:

Hardback

Series:

Atlantis Studies in Variational Geometry

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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.

Release date Australia

May 30th, 2016

Author

Audience

Professional & Vocational

Edition

1st ed. 2016

Illustrations

XIV, 290 p.

Pages

290

Series

Atlantis Studies in Variational Geometry

Dimensions

155x235x19

ISBN-13

9789462391918

Product ID

24610178

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