The Crystal Ally Cards by Naisha Ahsian

The Crystal Ally Cards by Naisha Ahsian

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The Crystal Ally Cards by Naisha Ahsian

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.
SKU Unavailable
ISBN 13 9780962191015
ISBN 10 0962191019
Title The Crystal Ally Cards
Author Naisha Ahsian
Condition Unavailable
Binding Type Mixed media product
Publisher Heaven & Earth Books
Year published 1997-10-01
Number of pages 286
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable