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Cartan Geometries and Their Symmetries
Crampin, Mike; Saunders, David
€ 122.79
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Description for Cartan Geometries and Their Symmetries
Hardback. Series: Atlantis Studies in Variational Geometry. Num Pages: 304 pages, biography. BIC Classification: PBMP. Category: (G) General (US: Trade). Dimension: 235 x 155 x 19. Weight in Grams: 619.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2016
Publisher
Atlantis Press (Zeger Karssen) Netherlands
Number of pages
304
Condition
New
Series
Atlantis Studies in Variational Geometry
Number of Pages
290
Place of Publication
, Netherlands
ISBN
9789462391918
SKU
V9789462391918
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Cartan Geometries and Their Symmetries
“The authors expose an alternative approach to Cartan geometries. … the book offers a nice exposition of the approach to Cartan geometries via Lie algebroids, one also has to say that, apart from the approach, the book remains in quite well-known territory.” (Andreas Cap, Mathematical Reviews, April 2017)